Atkin-Lehner |
2- 3- 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9102f |
Isogeny class |
Conductor |
9102 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2976 |
Modular degree for the optimal curve |
Δ |
-336774 = -1 · 2 · 3 · 372 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 4 6 5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-131,567] |
[a1,a2,a3,a4,a6] |
j |
-248739515569/336774 |
j-invariant |
L |
6.0694249720729 |
L(r)(E,1)/r! |
Ω |
3.0347124860365 |
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 |
72816f1 27306b1 |
Quadratic twists by: -4 -3 |