Atkin-Lehner |
2- 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24850be |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
98 |
Product of Tamagawa factors cp |
deg |
53312 |
Modular degree for the optimal curve |
Δ |
935544848000 = 27 · 53 · 77 · 71 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -3 -5 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2468,-8048] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:212:1] [-354:1157:8] |
Generators of the group modulo torsion |
j |
13300260993557/7484358784 |
j-invariant |
L |
8.3520663277043 |
L(r)(E,1)/r! |
Ω |
0.72899551062939 |
Real period |
R |
0.11690767002894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24850i1 |
Quadratic twists by: 5 |