Atkin-Lehner |
2+ 3+ 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25194i |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2924544 |
Modular degree for the optimal curve |
Δ |
9.4692969760871E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 2 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30978835,-66213575507] |
[a1,a2,a3,a4,a6] |
Generators |
[-862470663631:-1245765890620:278445077] |
Generators of the group modulo torsion |
j |
3287902864533307206636957625/9469296976087096492032 |
j-invariant |
L |
4.0321679544333 |
L(r)(E,1)/r! |
Ω |
0.064004198999718 |
Real period |
R |
15.749622749169 |
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 |
75582bl1 |
Quadratic twists by: -3 |