Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540be |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1021440 |
Modular degree for the optimal curve |
Δ |
-107211463077600000 = -1 · 28 · 34 · 55 · 79 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17379,15734655] |
[a1,a2,a3,a4,a6] |
Generators |
[261:6174:1] |
Generators of the group modulo torsion |
j |
56188928/10378125 |
j-invariant |
L |
7.8905063899018 |
L(r)(E,1)/r! |
Ω |
0.2581566572441 |
Real period |
R |
1.2735332936707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048548 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120540n1 |
Quadratic twists by: -7 |