Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578p |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-890652692232828 = -1 · 22 · 38 · 79 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59103,-5699079] |
[a1,a2,a3,a4,a6] |
Generators |
[514:9719:1] |
Generators of the group modulo torsion |
j |
-776151559/30276 |
j-invariant |
L |
2.7216494081929 |
L(r)(E,1)/r! |
Ω |
0.15274766688237 |
Real period |
R |
4.4544860549144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526bb1 25578k1 |
Quadratic twists by: -3 -7 |