Atkin-Lehner |
3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265b |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
1816611131894625 = 37 · 53 · 118 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 11- -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21362673,37995292152] |
[a1,a2,a3,a4,a6] |
Generators |
[13251772:6235070:4913] |
Generators of the group modulo torsion |
j |
608603451835763140849/1025429625 |
j-invariant |
L |
3.2871407163312 |
L(r)(E,1)/r! |
Ω |
0.30298730121888 |
Real period |
R |
10.849103916383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5115b1 |
Quadratic twists by: -11 |