Atkin-Lehner |
2+ 3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
18690g |
Isogeny class |
Conductor |
18690 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21760 |
Modular degree for the optimal curve |
Δ |
-68592599040 = -1 · 220 · 3 · 5 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1021,1022] |
[a1,a2,a3,a4,a6] |
j |
117872434296791/68592599040 |
j-invariant |
L |
2.6484224161855 |
L(r)(E,1)/r! |
Ω |
0.66210560404636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56070bd1 93450bv1 |
Quadratic twists by: -3 5 |