Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99372bw |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
51757056 |
Modular degree for the optimal curve |
Δ |
1.8568342511483E+28 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-792469617,-5545325122128] |
[a1,a2,a3,a4,a6] |
Generators |
[-11331:1406937:1] |
Generators of the group modulo torsion |
j |
2757231177908224/930196594089 |
j-invariant |
L |
10.613267550154 |
L(r)(E,1)/r! |
Ω |
0.029230192328325 |
Real period |
R |
6.7239376800685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196g1 99372by1 |
Quadratic twists by: -7 13 |