Atkin-Lehner |
2- 7+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
100688s |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30336 |
Modular degree for the optimal curve |
Δ |
1611008 = 28 · 7 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -1 -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2504,-48228] |
[a1,a2,a3,a4,a6] |
Generators |
[-21051:107:729] |
Generators of the group modulo torsion |
j |
6782451867648/6293 |
j-invariant |
L |
6.8074026106536 |
L(r)(E,1)/r! |
Ω |
0.67490243915393 |
Real period |
R |
5.043249374401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003767 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25172i1 |
Quadratic twists by: -4 |