Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280h |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
185220000000 = 28 · 33 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-546903,-155673098] |
[a1,a2,a3,a4,a6] |
j |
7630566466251024/78125 |
j-invariant |
L |
1.4044683784455 |
L(r)(E,1)/r! |
Ω |
0.1755585473037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640b1 35280l1 35280p1 |
Quadratic twists by: -4 -3 -7 |