Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
98252o |
Isogeny class |
Conductor |
98252 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
375272090918032 = 24 · 73 · 119 · 29 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 11- -5 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35614,2425073] |
[a1,a2,a3,a4,a6] |
Generators |
[466:9317:1] |
Generators of the group modulo torsion |
j |
176247139072/13239457 |
j-invariant |
L |
4.2983722228268 |
L(r)(E,1)/r! |
Ω |
0.52448860889341 |
Real period |
R |
0.22764884985999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999859802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8932c1 |
Quadratic twists by: -11 |