Atkin-Lehner |
2- 3- 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526z |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-18028684429056 = -1 · 28 · 36 · 7 · 173 · 532 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3904,180451] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-631:1] |
Generators of the group modulo torsion |
j |
9028797181767/24730705664 |
j-invariant |
L |
8.9711973719058 |
L(r)(E,1)/r! |
Ω |
0.48427761521508 |
Real period |
R |
0.38593554500468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12614a1 |
Quadratic twists by: -3 |