Atkin-Lehner |
2+ 3- 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910l |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
19955712 |
Modular degree for the optimal curve |
Δ |
-8.5905644898126E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-115677594,-654323229900] |
[a1,a2,a3,a4,a6] |
j |
-234824781624528595037627809/117840390806757703680000 |
j-invariant |
L |
1.0791748384812 |
L(r)(E,1)/r! |
Ω |
0.022482808776042 |
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 |
23970t1 |
Quadratic twists by: -3 |