Atkin-Lehner |
5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13975a |
Isogeny class |
Conductor |
13975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
-131747374560546875 = -1 · 511 · 137 · 43 |
Discriminant |
Eigenvalues |
-1 1 5+ -2 2 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-343963,-79613708] |
[a1,a2,a3,a4,a6] |
Generators |
[489757299:-3138491569:704969] |
Generators of the group modulo torsion |
j |
-288030812484797929/8431831971875 |
j-invariant |
L |
3.1329777905122 |
L(r)(E,1)/r! |
Ω |
0.098399425015798 |
Real period |
R |
15.919695618187 |
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 |
125775o1 2795b1 |
Quadratic twists by: -3 5 |