Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280ee |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
4964250291131250000 = 24 · 39 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-670908,182339143] |
[a1,a2,a3,a4,a6] |
j |
70954958848/10546875 |
j-invariant |
L |
0.93215872996496 |
L(r)(E,1)/r! |
Ω |
0.23303968249308 |
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 |
8820m1 11760cr1 35280fk1 |
Quadratic twists by: -4 -3 -7 |