Atkin-Lehner |
2+ 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
22752g |
Isogeny class |
Conductor |
22752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
235892736 = 212 · 36 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 2 3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-876,9952] |
[a1,a2,a3,a4,a6] |
Generators |
[18:4:1] |
Generators of the group modulo torsion |
j |
24897088/79 |
j-invariant |
L |
7.0182248386932 |
L(r)(E,1)/r! |
Ω |
1.7683041708448 |
Real period |
R |
0.99222534143267 |
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 |
22752l1 45504ba1 2528c1 |
Quadratic twists by: -4 8 -3 |