Atkin-Lehner |
5- 7+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
120575j |
Isogeny class |
Conductor |
120575 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
163200 |
Modular degree for the optimal curve |
Δ |
-4523446484375 = -1 · 58 · 75 · 13 · 53 |
Discriminant |
Eigenvalues |
1 1 5- 7+ -6 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4049,-24827] |
[a1,a2,a3,a4,a6] |
Generators |
[57646435:2087471609:42875] |
Generators of the group modulo torsion |
j |
18800144375/11580023 |
j-invariant |
L |
6.4172121978933 |
L(r)(E,1)/r! |
Ω |
0.4476188390573 |
Real period |
R |
14.336331723691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120575e1 |
Quadratic twists by: 5 |