Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992gz |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-331754766336 = -1 · 221 · 36 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -4 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1361484,-611458416] |
[a1,a2,a3,a4,a6] |
Generators |
[306141186:7534678976:185193] |
Generators of the group modulo torsion |
j |
-1460474194254993/1736 |
j-invariant |
L |
3.700689755485 |
L(r)(E,1)/r! |
Ω |
0.069882176621667 |
Real period |
R |
13.239032723093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000170952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992bo1 31248cm1 13888x1 |
Quadratic twists by: -4 8 -3 |