Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600da |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-9248000 = -1 · 28 · 53 · 172 |
Discriminant |
Eigenvalues |
2- -1 5- 3 6 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28,-148] |
[a1,a2,a3,a4,a6] |
Generators |
[219:260:27] |
Generators of the group modulo torsion |
j |
-272 |
j-invariant |
L |
7.3112208604015 |
L(r)(E,1)/r! |
Ω |
0.94781682494665 |
Real period |
R |
3.8568743993823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999528402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28900h1 115600ct1 115600de1 |
Quadratic twists by: -4 5 17 |