Atkin-Lehner |
2- 3+ 5- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
78210x |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
350 |
Product of Tamagawa factors cp |
deg |
739200 |
Modular degree for the optimal curve |
Δ |
-100170951922800000 = -1 · 27 · 39 · 55 · 115 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 0 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,94903,-10282679] |
[a1,a2,a3,a4,a6] |
Generators |
[271:-6076:1] |
Generators of the group modulo torsion |
j |
4802601293457813/5089211600000 |
j-invariant |
L |
9.2889087907209 |
L(r)(E,1)/r! |
Ω |
0.18217141878179 |
Real period |
R |
0.14568552839333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78210c1 |
Quadratic twists by: -3 |