Atkin-Lehner |
5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35525f |
Isogeny class |
Conductor |
35525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-11428267607421875 = -1 · 510 · 79 · 29 |
Discriminant |
Eigenvalues |
1 3 5+ 7- 6 2 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36367,5803916] |
[a1,a2,a3,a4,a6] |
j |
-4629825/9947 |
j-invariant |
L |
6.4465374311933 |
L(r)(E,1)/r! |
Ω |
0.35814096840075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35525t1 5075h1 |
Quadratic twists by: 5 -7 |