Atkin-Lehner |
2+ 3- 5- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310bh |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2543616 |
Modular degree for the optimal curve |
Δ |
51441274730188800 = 212 · 39 · 52 · 193 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-879804,-317226672] |
[a1,a2,a3,a4,a6] |
Generators |
[-543:699:1] |
Generators of the group modulo torsion |
j |
103312829950753733569/70564162867200 |
j-invariant |
L |
5.1048846203996 |
L(r)(E,1)/r! |
Ω |
0.15589093216701 |
Real period |
R |
1.3644380889395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34770ba1 |
Quadratic twists by: -3 |