Atkin-Lehner |
2+ 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360bi |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-104329000000 = -1 · 26 · 56 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -6 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-227,15596] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:130:1] [52:380:1] |
Generators of the group modulo torsion |
j |
-20212559424/1630140625 |
j-invariant |
L |
11.650982013558 |
L(r)(E,1)/r! |
Ω |
0.87344267148006 |
Real period |
R |
2.223191514469 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360bb1 51680h2 |
Quadratic twists by: -4 8 |