Atkin-Lehner |
2+ 3- 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350be |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
842925000016687500 = 22 · 37 · 56 · 116 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1207301,508573748] |
[a1,a2,a3,a4,a6] |
Generators |
[828:-9176:1] [-1053:25276:1] |
Generators of the group modulo torsion |
j |
12455175463333710913/53947200001068 |
j-invariant |
L |
9.5777298192427 |
L(r)(E,1)/r! |
Ω |
0.28308684893752 |
Real period |
R |
0.40277601558833 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894l2 |
Quadratic twists by: 5 |