Atkin-Lehner |
3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
31311l |
Isogeny class |
Conductor |
31311 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-54804551319 = -1 · 38 · 76 · 71 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,211,11148] |
[a1,a2,a3,a4,a6] |
j |
12167/639 |
j-invariant |
L |
1.7004552443898 |
L(r)(E,1)/r! |
Ω |
0.85022762219483 |
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 |
10437a1 639a1 |
Quadratic twists by: -3 -7 |