Atkin-Lehner |
3+ 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
7035d |
Isogeny class |
Conductor |
7035 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-24232233375 = -1 · 310 · 53 · 72 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 2 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-392,-8229] |
[a1,a2,a3,a4,a6] |
j |
-6688239997321/24232233375 |
j-invariant |
L |
1.47483523425 |
L(r)(E,1)/r! |
Ω |
0.49161174474999 |
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 |
112560co1 21105g1 35175t1 49245u1 |
Quadratic twists by: -4 -3 5 -7 |