Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23800m |
Isogeny class |
Conductor |
23800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14720 |
Modular degree for the optimal curve |
Δ |
-59500000000 = -1 · 28 · 59 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 3 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-500,12500] |
[a1,a2,a3,a4,a6] |
Generators |
[25:125:1] |
Generators of the group modulo torsion |
j |
-27648/119 |
j-invariant |
L |
4.9872536196681 |
L(r)(E,1)/r! |
Ω |
0.96735577697167 |
Real period |
R |
1.2888881573853 |
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 |
47600j1 23800e1 |
Quadratic twists by: -4 5 |