Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360df |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
745734657360 = 24 · 3 · 5 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3495,66660] |
[a1,a2,a3,a4,a6] |
Generators |
[414964:7214220:1331] |
Generators of the group modulo torsion |
j |
2508888064/396165 |
j-invariant |
L |
9.1071868602538 |
L(r)(E,1)/r! |
Ω |
0.86111210830757 |
Real period |
R |
10.576075676806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680i1 18480h1 |
Quadratic twists by: -4 -7 |