Atkin-Lehner |
3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675x |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
441600 |
Modular degree for the optimal curve |
Δ |
88099858441125 = 32 · 53 · 238 |
Discriminant |
Eigenvalues |
-2 3+ 5- 0 3 -2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-385288,-91921122] |
[a1,a2,a3,a4,a6] |
Generators |
[-359:10:1] |
Generators of the group modulo torsion |
j |
646172672/9 |
j-invariant |
L |
2.5258385948773 |
L(r)(E,1)/r! |
Ω |
0.19162556702876 |
Real period |
R |
3.2952786964157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119025cp1 39675bs1 39675y1 |
Quadratic twists by: -3 5 -23 |