Atkin-Lehner |
2+ 3- 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670r |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
408576 |
Modular degree for the optimal curve |
Δ |
-59339086479360 = -1 · 214 · 312 · 5 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9090,-496364] |
[a1,a2,a3,a4,a6] |
Generators |
[197:2210:1] [24692:3867590:1] |
Generators of the group modulo torsion |
j |
-113950099268641/81397923840 |
j-invariant |
L |
8.7147015566377 |
L(r)(E,1)/r! |
Ω |
0.23702358328576 |
Real period |
R |
18.383616996326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000009402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890y1 |
Quadratic twists by: -3 |