Atkin-Lehner |
2- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31958l |
Isogeny class |
Conductor |
31958 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
3591371522048 = 215 · 194 · 292 |
Discriminant |
Eigenvalues |
2- -2 0 -1 2 -4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34368,-2453504] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:92:1] |
Generators of the group modulo torsion |
j |
5338156293669625/4270358528 |
j-invariant |
L |
5.0501359588823 |
L(r)(E,1)/r! |
Ω |
0.35065640807536 |
Real period |
R |
0.24003249537066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31958d1 |
Quadratic twists by: 29 |