Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360gf |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
90478080 |
Modular degree for the optimal curve |
Δ |
-2.6297492877645E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161290376,7841849147124] |
[a1,a2,a3,a4,a6] |
Generators |
[27124:4839750:1] |
Generators of the group modulo torsion |
j |
-401059427678785561/22728668688000000 |
j-invariant |
L |
8.8427137565599 |
L(r)(E,1)/r! |
Ω |
0.031119674255149 |
Real period |
R |
4.1787040210196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018601 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170b1 129360eo1 |
Quadratic twists by: -4 -7 |