Atkin-Lehner |
3+ 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
69531g |
Isogeny class |
Conductor |
69531 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
73440 |
Modular degree for the optimal curve |
Δ |
-1018003371 = -1 · 3 · 72 · 115 · 43 |
Discriminant |
Eigenvalues |
-2 3+ -3 7- 11- 6 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-492,4640] |
[a1,a2,a3,a4,a6] |
Generators |
[2:60:1] |
Generators of the group modulo torsion |
j |
-269342789632/20775579 |
j-invariant |
L |
1.419375782194 |
L(r)(E,1)/r! |
Ω |
1.5296384057009 |
Real period |
R |
0.18558317787235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69531j1 |
Quadratic twists by: -7 |