Atkin-Lehner |
2+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25840i |
Isogeny class |
Conductor |
25840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-7467760 = -1 · 24 · 5 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 3 -2 -3 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167,841] |
[a1,a2,a3,a4,a6] |
Generators |
[0:29:1] |
Generators of the group modulo torsion |
j |
-32192384256/466735 |
j-invariant |
L |
5.8503135836906 |
L(r)(E,1)/r! |
Ω |
2.3551874293908 |
Real period |
R |
2.4840118925073 |
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 |
12920k1 103360bl1 129200p1 |
Quadratic twists by: -4 8 5 |