Atkin-Lehner |
3- 5+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
23865d |
Isogeny class |
Conductor |
23865 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
849600 |
Modular degree for the optimal curve |
Δ |
-12391433540746875 = -1 · 36 · 55 · 37 · 435 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 4 -5 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-20438061,35556946895] |
[a1,a2,a3,a4,a6] |
Generators |
[21066:16637:8] |
Generators of the group modulo torsion |
j |
-944153932700928158029840384/12391433540746875 |
j-invariant |
L |
5.3641082237166 |
L(r)(E,1)/r! |
Ω |
0.28315942984777 |
Real period |
R |
0.63145913082727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71595i1 119325c1 |
Quadratic twists by: -3 5 |