Atkin-Lehner |
2+ 3- 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950bc |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
602112 |
Modular degree for the optimal curve |
Δ |
-165299610937500 = -1 · 22 · 37 · 58 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9724,497198] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:391:1] [-18:571:1] |
Generators of the group modulo torsion |
j |
6508827125711/10579175100 |
j-invariant |
L |
9.3410765874874 |
L(r)(E,1)/r! |
Ω |
0.39163298978185 |
Real period |
R |
0.85184314624829 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980262 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23790l1 |
Quadratic twists by: 5 |