Atkin-Lehner |
2- 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
10906n |
Isogeny class |
Conductor |
10906 |
Conductor |
∏ cp |
234 |
Product of Tamagawa factors cp |
deg |
4627584 |
Modular degree for the optimal curve |
Δ |
4892866455199744 = 213 · 79 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3 -3 7- -2 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1385701839,-19853872365161] |
[a1,a2,a3,a4,a6] |
j |
294261261066111246295755977110593/4892866455199744 |
j-invariant |
L |
5.7902586466559 |
L(r)(E,1)/r! |
Ω |
0.024744695071179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87248r1 98154z1 76342ba1 |
Quadratic twists by: -4 -3 -7 |