Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
37350bx |
Isogeny class |
Conductor |
37350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37120 |
Modular degree for the optimal curve |
Δ |
-472710937500 = -1 · 22 · 36 · 59 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1195,-29303] |
[a1,a2,a3,a4,a6] |
Generators |
[976528:-15686515:4096] |
Generators of the group modulo torsion |
j |
132651/332 |
j-invariant |
L |
9.6503203830773 |
L(r)(E,1)/r! |
Ω |
0.48246015205816 |
Real period |
R |
10.0011579629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4150e1 37350v1 |
Quadratic twists by: -3 5 |