Atkin-Lehner |
2- 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2622c |
Isogeny class |
Conductor |
2622 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-94392 = -1 · 23 · 33 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 2 3 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12,-27] |
[a1,a2,a3,a4,a6] |
j |
-192100033/94392 |
j-invariant |
L |
3.758127848588 |
L(r)(E,1)/r! |
Ω |
1.2527092828627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20976h1 83904i1 7866j1 65550bg1 |
Quadratic twists by: -4 8 -3 5 |