Atkin-Lehner |
3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
116325j |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-6443172454833984375 = -1 · 33 · 518 · 113 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-292880,-136442878] |
[a1,a2,a3,a4,a6] |
Generators |
[700:733:1] |
Generators of the group modulo torsion |
j |
-6585786983627307/15272705078125 |
j-invariant |
L |
3.0999616444352 |
L(r)(E,1)/r! |
Ω |
0.095866549506068 |
Real period |
R |
5.3893695967692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000131951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325c1 23265c1 |
Quadratic twists by: -3 5 |