Atkin-Lehner |
3+ 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25575d |
Isogeny class |
Conductor |
25575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
174789140625 = 38 · 57 · 11 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1563,-13344] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:102:1] [-10:42:1] |
Generators of the group modulo torsion |
j |
27027009001/11186505 |
j-invariant |
L |
4.5564347057831 |
L(r)(E,1)/r! |
Ω |
0.78754140396857 |
Real period |
R |
2.8928223219897 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76725m1 5115j1 |
Quadratic twists by: -3 5 |