Atkin-Lehner |
2- 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184bv |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-832927413275983872 = -1 · 230 · 32 · 7 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,228272,-12955712] |
[a1,a2,a3,a4,a6] |
Generators |
[154:5082:1] [1506:61190:1] |
Generators of the group modulo torsion |
j |
321158775451043375/203351419256832 |
j-invariant |
L |
10.103797591842 |
L(r)(E,1)/r! |
Ω |
0.1619396652854 |
Real period |
R |
7.7990447664613 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996329 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398bh1 |
Quadratic twists by: -4 |