Atkin-Lehner |
3- 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35175t |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-378628646484375 = -1 · 310 · 59 · 72 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 2 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9813,-1009008] |
[a1,a2,a3,a4,a6] |
j |
-6688239997321/24232233375 |
j-invariant |
L |
2.1985545596021 |
L(r)(E,1)/r! |
Ω |
0.21985545595965 |
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 |
105525j1 7035d1 |
Quadratic twists by: -3 5 |