Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768dr |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-2881382498816753664 = -1 · 228 · 310 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -1 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2055521,-1137929697] |
[a1,a2,a3,a4,a6] |
Generators |
[12631:1410048:1] |
Generators of the group modulo torsion |
j |
-3663951832329237721/10991601939456 |
j-invariant |
L |
8.8470440057261 |
L(r)(E,1)/r! |
Ω |
0.063031992923012 |
Real period |
R |
1.1696499354487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768o1 30192m1 |
Quadratic twists by: -4 8 |