Atkin-Lehner |
2- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30682g |
Isogeny class |
Conductor |
30682 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
-4396073759744 = -1 · 210 · 236 · 29 |
Discriminant |
Eigenvalues |
2- -1 -1 2 3 -1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2634,-85325] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-559:1] |
Generators of the group modulo torsion |
j |
13651919/29696 |
j-invariant |
L |
6.5336311356415 |
L(r)(E,1)/r! |
Ω |
0.40314912969955 |
Real period |
R |
0.81032435075708 |
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 |
58b1 |
Quadratic twists by: -23 |