Atkin-Lehner |
2+ 3- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
118296c |
Isogeny class |
Conductor |
118296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
29747821556922624 = 28 · 316 · 312 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-157431,-22565270] |
[a1,a2,a3,a4,a6] |
Generators |
[274130758:124407572562:1331] |
Generators of the group modulo torsion |
j |
2312208432885328/159399764001 |
j-invariant |
L |
6.8444188857252 |
L(r)(E,1)/r! |
Ω |
0.24071731635232 |
Real period |
R |
14.216714728557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076143 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39432c2 |
Quadratic twists by: -3 |