Atkin-Lehner |
2+ 3- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
59598h |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-13564405628928 = -1 · 214 · 36 · 74 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1197,178213] |
[a1,a2,a3,a4,a6] |
Generators |
[42:427:1] [21:392:1] |
Generators of the group modulo torsion |
j |
-260305116625/18606866432 |
j-invariant |
L |
7.7140028659161 |
L(r)(E,1)/r! |
Ω |
0.58304661516881 |
Real period |
R |
1.6538134913305 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6622i1 |
Quadratic twists by: -3 |