Atkin-Lehner |
2+ 7+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120176c |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
329728 |
Modular degree for the optimal curve |
Δ |
-2824495566592 = -1 · 28 · 7 · 292 · 374 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 0 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52932,4670428] |
[a1,a2,a3,a4,a6] |
Generators |
[134:40:1] |
Generators of the group modulo torsion |
j |
-64068840309241168/11033185807 |
j-invariant |
L |
4.4463936055233 |
L(r)(E,1)/r! |
Ω |
0.78019709348582 |
Real period |
R |
2.849532285618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999807868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60088j1 |
Quadratic twists by: -4 |