Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150br |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1266232500000 = -1 · 25 · 34 · 57 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-813,54531] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:-220:1] [-250:1921:8] |
Generators of the group modulo torsion |
j |
-3803721481/81038880 |
j-invariant |
L |
12.758668959774 |
L(r)(E,1)/r! |
Ω |
0.72341727004148 |
Real period |
R |
0.22045832827405 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14430v1 |
Quadratic twists by: 5 |