Atkin-Lehner |
2+ 3+ 5- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370g |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2377728 |
Modular degree for the optimal curve |
Δ |
-1.0551401498888E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10793922,-13743186444] |
[a1,a2,a3,a4,a6] |
Generators |
[7215087:389144784:1331] |
Generators of the group modulo torsion |
j |
-139079013394701859751552041/1055140149888811008000 |
j-invariant |
L |
3.7998495224618 |
L(r)(E,1)/r! |
Ω |
0.041627275545375 |
Real period |
R |
7.6068904996352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88110cc1 |
Quadratic twists by: -3 |