Atkin-Lehner |
2- 3- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280cd |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
122112 |
Modular degree for the optimal curve |
Δ |
-11204328240 = -1 · 24 · 34 · 5 · 73 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,359,4490] |
[a1,a2,a3,a4,a6] |
j |
318916345856/700270515 |
j-invariant |
L |
5.3182188975163 |
L(r)(E,1)/r! |
Ω |
0.88636998677002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29820a1 |
Quadratic twists by: -4 |