Atkin-Lehner |
2+ 3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
37050p |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-135316985856000 = -1 · 214 · 3 · 53 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-76960,-8268800] |
[a1,a2,a3,a4,a6] |
Generators |
[491:8276:1] |
Generators of the group modulo torsion |
j |
-403290223052161661/1082535886848 |
j-invariant |
L |
3.426162740338 |
L(r)(E,1)/r! |
Ω |
0.14329555948164 |
Real period |
R |
2.9887202652448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111150fa1 37050cs1 |
Quadratic twists by: -3 5 |