Atkin-Lehner |
2+ 3- 5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120870c |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-104422466759793750 = -1 · 2 · 316 · 55 · 173 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -5 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-464625,123003211] |
[a1,a2,a3,a4,a6] |
Generators |
[407:890:1] [-55:12209:1] |
Generators of the group modulo torsion |
j |
-15216137773459434001/143240695143750 |
j-invariant |
L |
8.4234142560098 |
L(r)(E,1)/r! |
Ω |
0.33683721531366 |
Real period |
R |
6.2518435217581 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000007392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290x1 |
Quadratic twists by: -3 |