Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
54760f |
Isogeny class |
Conductor |
54760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
980352 |
Modular degree for the optimal curve |
Δ |
665404107750794240 = 210 · 5 · 379 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 -4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-219496,5063424] |
[a1,a2,a3,a4,a6] |
Generators |
[-14581400785:-44871893056:30664297] |
Generators of the group modulo torsion |
j |
8788/5 |
j-invariant |
L |
4.4464818550712 |
L(r)(E,1)/r! |
Ω |
0.24673716931828 |
Real period |
R |
18.021126963783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109520e1 54760b1 |
Quadratic twists by: -4 37 |