Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520k |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
4.6153893975062E+22 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -1 3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19185280,-30654860972] |
[a1,a2,a3,a4,a6] |
Generators |
[-4604028:41177150:2197] |
Generators of the group modulo torsion |
j |
3241230881441497058/191553528228125 |
j-invariant |
L |
8.8937986149791 |
L(r)(E,1)/r! |
Ω |
0.072403337007324 |
Real period |
R |
3.070921486364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60760w1 17360f1 |
Quadratic twists by: -4 -7 |