Atkin-Lehner |
2+ 3+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050c |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-1.4029045948125E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -1 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-695325,286552125] |
[a1,a2,a3,a4,a6] |
Generators |
[-699:21126:1] |
Generators of the group modulo torsion |
j |
-3807046471005025/1436574305088 |
j-invariant |
L |
3.1721406703853 |
L(r)(E,1)/r! |
Ω |
0.20953842759413 |
Real period |
R |
1.8923382615343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150du1 37050co1 |
Quadratic twists by: -3 5 |