Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950br |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-675085529250 = -1 · 2 · 36 · 53 · 115 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- -2 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,879,-38162] |
[a1,a2,a3,a4,a6] |
Generators |
[92:861:1] |
Generators of the group modulo torsion |
j |
601852914307/5400684234 |
j-invariant |
L |
4.0229434684021 |
L(r)(E,1)/r! |
Ω |
0.44900164544725 |
Real period |
R |
0.14932920288058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113850fo1 37950ck1 |
Quadratic twists by: -3 5 |