Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gq |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
17385984000 = 212 · 32 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3096,64980] |
[a1,a2,a3,a4,a6] |
Generators |
[6:216:1] |
Generators of the group modulo torsion |
j |
2336752783/12375 |
j-invariant |
L |
9.1595198494192 |
L(r)(E,1)/r! |
Ω |
1.2374592462167 |
Real period |
R |
1.8504689769722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007408 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8085e1 129360fs1 |
Quadratic twists by: -4 -7 |