Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
33462bc |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2296320 |
Modular degree for the optimal curve |
Δ |
-7.1334608898799E+20 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 11+ 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5812026,5545542068] |
[a1,a2,a3,a4,a6] |
Generators |
[6086:313325:8] |
Generators of the group modulo torsion |
j |
-2808592297029/92274688 |
j-invariant |
L |
2.4861398532716 |
L(r)(E,1)/r! |
Ω |
0.15981922292651 |
Real period |
R |
3.8889875193778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718s1 33462dj1 |
Quadratic twists by: -3 13 |