Atkin-Lehner |
2- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
126616j |
Isogeny class |
Conductor |
126616 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
-1.9075151373621E+19 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ -3 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-420518,234887429] |
[a1,a2,a3,a4,a6] |
Generators |
[-686:14161:1] [-346:18411:1] |
Generators of the group modulo torsion |
j |
-89160640579584/206806264579 |
j-invariant |
L |
10.262281559771 |
L(r)(E,1)/r! |
Ω |
0.19252838191559 |
Real period |
R |
0.4441891221584 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126616m1 |
Quadratic twists by: -7 |