Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970j |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-497933604504000 = -1 · 26 · 33 · 53 · 72 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54489,5025645] |
[a1,a2,a3,a4,a6] |
j |
-662660286993086283/18441985352000 |
j-invariant |
L |
2.0872821739479 |
L(r)(E,1)/r! |
Ω |
0.52182054348698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
95760cj1 11970bg3 59850dt1 83790c1 |
Quadratic twists by: -4 -3 5 -7 |