Atkin-Lehner |
5+ 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
115885g |
Isogeny class |
Conductor |
115885 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-168335130425 = -1 · 52 · 76 · 113 · 43 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- 11- 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15803,-771518] |
[a1,a2,a3,a4,a6] |
Generators |
[146:172:1] |
Generators of the group modulo torsion |
j |
-3710197529641/1430825 |
j-invariant |
L |
6.7406440283351 |
L(r)(E,1)/r! |
Ω |
0.21289773894603 |
Real period |
R |
2.6384513953492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2365e1 |
Quadratic twists by: -7 |