Atkin-Lehner |
3+ 7- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
31857a |
Isogeny class |
Conductor |
31857 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-317391291 = -1 · 36 · 7 · 37 · 412 |
Discriminant |
Eigenvalues |
0 3+ -3 7- 3 1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,163,257] |
[a1,a2,a3,a4,a6] |
Generators |
[1:20:1] |
Generators of the group modulo torsion |
j |
476013658112/317391291 |
j-invariant |
L |
3.4117278784836 |
L(r)(E,1)/r! |
Ω |
1.0788990066963 |
Real period |
R |
0.79055774852613 |
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 |
95571g1 |
Quadratic twists by: -3 |