Atkin-Lehner |
2- 7- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
100646l |
Isogeny class |
Conductor |
100646 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
471744 |
Modular degree for the optimal curve |
Δ |
-6177358553440256 = -1 · 213 · 76 · 13 · 793 |
Discriminant |
Eigenvalues |
2- 0 1 7- -5 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2073,3780767] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:1918:1] |
Generators of the group modulo torsion |
j |
8377795791/52506681344 |
j-invariant |
L |
8.9284489320612 |
L(r)(E,1)/r! |
Ω |
0.33406433830589 |
Real period |
R |
0.68530088760227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2054d1 |
Quadratic twists by: -7 |