Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115056p |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5505024 |
Modular degree for the optimal curve |
Δ |
-1.4110033897926E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,154941,5715029698] |
[a1,a2,a3,a4,a6] |
Generators |
[2355595:323575722:125] |
Generators of the group modulo torsion |
j |
137763859017023/4725421803307008 |
j-invariant |
L |
6.9805491810897 |
L(r)(E,1)/r! |
Ω |
0.098990206392033 |
Real period |
R |
8.8146967254125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14382b1 38352x1 |
Quadratic twists by: -4 -3 |