Atkin-Lehner |
3+ 5- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
122475p |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1293312 |
Modular degree for the optimal curve |
Δ |
-1014101493028875 = -1 · 34 · 53 · 234 · 713 |
Discriminant |
Eigenvalues |
-2 3+ 5- -3 -6 -5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-49938,4577078] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:2449:1] [-1014:23801:8] |
Generators of the group modulo torsion |
j |
-110183314060685312/8112811944231 |
j-invariant |
L |
3.8131529679427 |
L(r)(E,1)/r! |
Ω |
0.48432320880674 |
Real period |
R |
0.16402411747909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999915623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122475x1 |
Quadratic twists by: 5 |