Atkin-Lehner |
2- 3- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
41292i |
Isogeny class |
Conductor |
41292 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-33560091003312 = -1 · 24 · 313 · 312 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3120,270529] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:481:1] |
Generators of the group modulo torsion |
j |
287965184000/2877236883 |
j-invariant |
L |
6.8021175009903 |
L(r)(E,1)/r! |
Ω |
0.48148079811881 |
Real period |
R |
2.3545824767978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13764c1 |
Quadratic twists by: -3 |