Atkin-Lehner |
2+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11840v |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
443801324800000000 = 214 · 58 · 375 |
Discriminant |
Eigenvalues |
2+ -3 5- -3 -5 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-877792,314918176] |
[a1,a2,a3,a4,a6] |
Generators |
[417:4625:1] |
Generators of the group modulo torsion |
j |
4565397831743545344/27087483203125 |
j-invariant |
L |
2.1805286865833 |
L(r)(E,1)/r! |
Ω |
0.29875221381716 |
Real period |
R |
0.18246966764888 |
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 |
11840bp1 740a1 106560cd1 59200s1 |
Quadratic twists by: -4 8 -3 5 |