Atkin-Lehner |
5+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
52325m |
Isogeny class |
Conductor |
52325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
270311767578125 = 512 · 7 · 13 · 233 |
Discriminant |
Eigenvalues |
2 0 5+ 7- -3 13- -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16175,-34969] |
[a1,a2,a3,a4,a6] |
Generators |
[-27927260:263104909:314432] |
Generators of the group modulo torsion |
j |
29952739823616/17299953125 |
j-invariant |
L |
11.026838231131 |
L(r)(E,1)/r! |
Ω |
0.46236097770358 |
Real period |
R |
11.92449056345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10465e1 |
Quadratic twists by: 5 |