Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
101920u |
Isogeny class |
Conductor |
101920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
279552 |
Modular degree for the optimal curve |
Δ |
-7674103091200 = -1 · 212 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 1 13- 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30641,-2058559] |
[a1,a2,a3,a4,a6] |
Generators |
[520:11061:1] |
Generators of the group modulo torsion |
j |
-134741824/325 |
j-invariant |
L |
9.281021945196 |
L(r)(E,1)/r! |
Ω |
0.18039723981601 |
Real period |
R |
6.4309617130429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101920a1 101920bo1 |
Quadratic twists by: -4 -7 |