Atkin-Lehner |
2+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6622b |
Isogeny class |
Conductor |
6622 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
987840 |
Modular degree for the optimal curve |
Δ |
3.4849043374321E+23 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 11- 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38582789,-87778717747] |
[a1,a2,a3,a4,a6] |
j |
6351913619433319093891405273/348490433743210894327808 |
j-invariant |
L |
2.9783742341768 |
L(r)(E,1)/r! |
Ω |
0.060783147636262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52976z1 59598s1 46354o1 72842z1 |
Quadratic twists by: -4 -3 -7 -11 |