Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578t |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-890652692232828 = -1 · 22 · 38 · 79 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -4 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19836,-956516] |
[a1,a2,a3,a4,a6] |
Generators |
[107:-1597:1] |
Generators of the group modulo torsion |
j |
10063705679/10384668 |
j-invariant |
L |
1.8051445634184 |
L(r)(E,1)/r! |
Ω |
0.27057206029477 |
Real period |
R |
0.83394815481497 |
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 |
8526v1 3654j1 |
Quadratic twists by: -3 -7 |