Atkin-Lehner |
2+ 3- 5+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
78210q |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
2034546540871680 = 216 · 310 · 5 · 113 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7985520,8687658240] |
[a1,a2,a3,a4,a6] |
j |
77251304095041822693121/2790873169920 |
j-invariant |
L |
2.0620605698433 |
L(r)(E,1)/r! |
Ω |
0.34367675077708 |
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 |
26070bc1 |
Quadratic twists by: -3 |