Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350cf |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-1016678459623680000 = -1 · 211 · 39 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-108438,-50466669] |
[a1,a2,a3,a4,a6] |
j |
-5591213575/40310784 |
j-invariant |
L |
2.5640682886643 |
L(r)(E,1)/r! |
Ω |
0.11654855857565 |
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 |
58800ka1 22050ct1 7350bb1 7350cz1 |
Quadratic twists by: -4 -3 5 -7 |