Atkin-Lehner |
31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41323b |
Isogeny class |
Conductor |
41323 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
846300 |
Modular degree for the optimal curve |
Δ |
-35244016340174443 = -1 · 3110 · 43 |
Discriminant |
Eigenvalues |
0 0 -4 4 4 1 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1847042,966233846] |
[a1,a2,a3,a4,a6] |
Generators |
[12696134:228138743:10648] |
Generators of the group modulo torsion |
j |
-850231296/43 |
j-invariant |
L |
4.4356862971204 |
L(r)(E,1)/r! |
Ω |
0.34626193186243 |
Real period |
R |
12.810204902558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41323a1 |
Quadratic twists by: -31 |