Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gp |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
3169643400000000000 = 212 · 35 · 511 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1367781,-610174125] |
[a1,a2,a3,a4,a6] |
Generators |
[-666:2409:1] |
Generators of the group modulo torsion |
j |
1409995418369929216/15792626953125 |
j-invariant |
L |
7.6929757469372 |
L(r)(E,1)/r! |
Ω |
0.13969772595281 |
Real period |
R |
3.6712484021796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999337731 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8085i1 129360er1 |
Quadratic twists by: -4 -7 |