Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7254o |
Isogeny class |
Conductor |
7254 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-185043504672 = -1 · 25 · 315 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55265,-4986799] |
[a1,a2,a3,a4,a6] |
Generators |
[435:7072:1] |
Generators of the group modulo torsion |
j |
-25605858405543625/253831968 |
j-invariant |
L |
6.0538190684782 |
L(r)(E,1)/r! |
Ω |
0.15568879992979 |
Real period |
R |
1.9442050652354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58032bf1 2418b1 94302n1 |
Quadratic twists by: -4 -3 13 |