Atkin-Lehner |
2- 3+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31020a |
Isogeny class |
Conductor |
31020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-1890663318206190000 = -1 · 24 · 312 · 54 · 115 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-231841,78961330] |
[a1,a2,a3,a4,a6] |
j |
-86134339311318482944/118166457387886875 |
j-invariant |
L |
1.4239588327972 |
L(r)(E,1)/r! |
Ω |
0.23732647213309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080ca1 93060u1 |
Quadratic twists by: -4 -3 |