Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
41200bi |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-675020800 = -1 · 218 · 52 · 103 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 0 -5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,152,-972] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-64:1] |
Generators of the group modulo torsion |
j |
3767855/6592 |
j-invariant |
L |
2.4010702211959 |
L(r)(E,1)/r! |
Ω |
0.84704634532719 |
Real period |
R |
0.70865963664272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5150a1 41200bo1 |
Quadratic twists by: -4 5 |