Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
37080s |
Isogeny class |
Conductor |
37080 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
12812800 |
Modular degree for the optimal curve |
Δ |
-1.0779036690008E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-486357627,-4420274795354] |
[a1,a2,a3,a4,a6] |
Generators |
[416626:84472875:8] |
Generators of the group modulo torsion |
j |
-17043681884495578064985316/1443951031218905390625 |
j-invariant |
L |
5.9676621124851 |
L(r)(E,1)/r! |
Ω |
0.015996783895291 |
Real period |
R |
1.332335243926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74160p1 12360d1 |
Quadratic twists by: -4 -3 |