Atkin-Lehner |
2- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15170i |
Isogeny class |
Conductor |
15170 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
5652480 |
Modular degree for the optimal curve |
Δ |
6.1714488155439E+24 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 2 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-451186566,3686651711363] |
[a1,a2,a3,a4,a6] |
Generators |
[297147:6141413:27] |
Generators of the group modulo torsion |
j |
10157625399856968874624555091809/6171448815543910400000000 |
j-invariant |
L |
9.9401981327875 |
L(r)(E,1)/r! |
Ω |
0.074625586551299 |
Real period |
R |
2.7750195431614 |
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 |
121360o1 75850e1 |
Quadratic twists by: -4 5 |