Atkin-Lehner |
2+ 3+ 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010c |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
196859718720 = 26 · 32 · 5 · 77 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2573,-46563] |
[a1,a2,a3,a4,a6] |
j |
16022066761/1673280 |
j-invariant |
L |
1.3496444458163 |
L(r)(E,1)/r! |
Ω |
0.67482194306798 |
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 |
17430p1 |
Quadratic twists by: -7 |