Atkin-Lehner |
2- 5- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760bu |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
379330560 |
Modular degree for the optimal curve |
Δ |
8.6243751057347E+31 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27653787400,1712696086897140] |
[a1,a2,a3,a4,a6] |
Generators |
[-147842:50692096:1] |
Generators of the group modulo torsion |
j |
570988844277383801036805498606601/21055603285485075353871319040 |
j-invariant |
L |
4.866611644214 |
L(r)(E,1)/r! |
Ω |
0.019011079105652 |
Real period |
R |
1.5237392156057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998927745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15470f1 |
Quadratic twists by: -4 |