Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280fw |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
71485204192290000 = 24 · 311 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275772,-54236189] |
[a1,a2,a3,a4,a6] |
Generators |
[617:3240:1] |
Generators of the group modulo torsion |
j |
4927700992/151875 |
j-invariant |
L |
5.2493358832368 |
L(r)(E,1)/r! |
Ω |
0.2087282690177 |
Real period |
R |
3.1436421549059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8820bc1 11760ci1 35280et1 |
Quadratic twists by: -4 -3 -7 |