Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920r |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-345468684476160 = -1 · 28 · 39 · 5 · 72 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13497,659878] |
[a1,a2,a3,a4,a6] |
Generators |
[1061:-34776:1] |
Generators of the group modulo torsion |
j |
1457028215984/1851148215 |
j-invariant |
L |
6.3094842871943 |
L(r)(E,1)/r! |
Ω |
0.36234173270731 |
Real period |
R |
1.0883172809814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999650944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960o1 38640w1 |
Quadratic twists by: -4 -3 |