Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480ec |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
23674880 = 214 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 2 5- -2 5 -6 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-725,7757] |
[a1,a2,a3,a4,a6] |
Generators |
[868:981:64] |
Generators of the group modulo torsion |
j |
8912896/5 |
j-invariant |
L |
10.399035861812 |
L(r)(E,1)/r! |
Ω |
2.1074432219349 |
Real period |
R |
4.9344322717894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92480cd1 23120t1 92480ds1 |
Quadratic twists by: -4 8 17 |