Atkin-Lehner |
3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025w |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-10605753984375 = -1 · 310 · 57 · 112 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6980,-271978] |
[a1,a2,a3,a4,a6] |
Generators |
[154:1435:1] |
Generators of the group modulo torsion |
j |
-3301293169/931095 |
j-invariant |
L |
4.3404435100519 |
L(r)(E,1)/r! |
Ω |
0.25739768426028 |
Real period |
R |
2.1078489509911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15675u1 9405l1 |
Quadratic twists by: -3 5 |