Atkin-Lehner |
2- 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410cb |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1311744 |
Modular degree for the optimal curve |
Δ |
-2437542797616080 = -1 · 24 · 5 · 78 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 11- 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38352,3751171] |
[a1,a2,a3,a4,a6] |
j |
-1082163361041/422832080 |
j-invariant |
L |
13.780707833418 |
L(r)(E,1)/r! |
Ω |
0.43064712932727 |
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 |
102410by1 |
Quadratic twists by: -7 |