Atkin-Lehner |
5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13175h |
Isogeny class |
Conductor |
13175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9120 |
Modular degree for the optimal curve |
Δ |
-1029296875 = -1 · 59 · 17 · 31 |
Discriminant |
Eigenvalues |
1 2 5- -1 -1 5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3200,68375] |
[a1,a2,a3,a4,a6] |
Generators |
[34:1:1] |
Generators of the group modulo torsion |
j |
-1856331989/527 |
j-invariant |
L |
7.6539078046298 |
L(r)(E,1)/r! |
Ω |
1.5228634352019 |
Real period |
R |
2.5129987455556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118575q1 13175f1 |
Quadratic twists by: -3 5 |