Atkin-Lehner |
2- 3+ 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49770bd |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-3732750 = -1 · 2 · 33 · 53 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 6 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53,187] |
[a1,a2,a3,a4,a6] |
j |
-599077107/138250 |
j-invariant |
L |
4.7503674432544 |
L(r)(E,1)/r! |
Ω |
2.3751837219462 |
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 |
49770g1 |
Quadratic twists by: -3 |