Atkin-Lehner |
2- 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488s |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-2151588096 = -1 · 28 · 39 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 2 0 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,81,-2214] |
[a1,a2,a3,a4,a6] |
j |
11664/427 |
j-invariant |
L |
1.4093420102701 |
L(r)(E,1)/r! |
Ω |
0.70467100668462 |
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 |
15372b1 61488r1 |
Quadratic twists by: -4 -3 |