Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520cc |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.173896069248E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-601657521,-5680110765679] |
[a1,a2,a3,a4,a6] |
Generators |
[419859655238371495611804264973622592654354780841772535161435673940713059165880:-59639519981167478995770069819329814377399180173791870173553368924360907433389019:10706727090654965260187158433613301692894361734705859727697985084465748769] |
Generators of the group modulo torsion |
j |
31248575021659890256/28203125 |
j-invariant |
L |
7.2290039752881 |
L(r)(E,1)/r! |
Ω |
0.030483316632219 |
Real period |
R |
118.57312087307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115520p2 28880m2 6080n2 |
Quadratic twists by: -4 8 -19 |