Atkin-Lehner |
2- 5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123970bh |
Isogeny class |
Conductor |
123970 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-464569640920000 = -1 · 26 · 54 · 73 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1154,-1036421] |
[a1,a2,a3,a4,a6] |
j |
495476997497/1354430440000 |
j-invariant |
L |
5.8604654407102 |
L(r)(E,1)/r! |
Ω |
0.24418611896391 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123970ca1 |
Quadratic twists by: -7 |