Atkin-Lehner |
3+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105k |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-8643372532716796875 = -1 · 35 · 59 · 73 · 11 · 136 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 11+ 13+ -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-138336,142874696] |
[a1,a2,a3,a4,a6] |
j |
-853568487231090688/25199336830078125 |
j-invariant |
L |
0.77540031634038 |
L(r)(E,1)/r! |
Ω |
0.19385000479111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105cm1 |
Quadratic twists by: -7 |