Atkin-Lehner |
3+ 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10323a |
Isogeny class |
Conductor |
10323 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
22576401 = 39 · 31 · 37 |
Discriminant |
Eigenvalues |
1 3+ 2 0 0 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-636,-6013] |
[a1,a2,a3,a4,a6] |
Generators |
[5777558:-170419919:6859] |
Generators of the group modulo torsion |
j |
1446731091/1147 |
j-invariant |
L |
6.0090562970565 |
L(r)(E,1)/r! |
Ω |
0.95065719879289 |
Real period |
R |
12.641899319095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10323b1 |
Quadratic twists by: -3 |