Atkin-Lehner |
5+ 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
23075c |
Isogeny class |
Conductor |
23075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-2437296875 = -1 · 56 · 133 · 71 |
Discriminant |
Eigenvalues |
0 -3 5+ 0 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-100,2406] |
[a1,a2,a3,a4,a6] |
Generators |
[30:162:1] |
Generators of the group modulo torsion |
j |
-7077888/155987 |
j-invariant |
L |
2.4286674745345 |
L(r)(E,1)/r! |
Ω |
1.2173863355739 |
Real period |
R |
0.33249749943315 |
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 |
923a1 |
Quadratic twists by: 5 |