Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410cg |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-2213719200 = -1 · 25 · 33 · 52 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-305,2927] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-64:1] |
Generators of the group modulo torsion |
j |
-214358881/151200 |
j-invariant |
L |
7.6364806118437 |
L(r)(E,1)/r! |
Ω |
1.3464806370798 |
Real period |
R |
0.1890479125494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76230bj1 127050da1 25410q1 |
Quadratic twists by: -3 5 -11 |