Atkin-Lehner |
2+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79040bb |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-2821826800000000 = -1 · 210 · 58 · 135 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 -6 13- 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3812,2557384] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:1625:1] |
Generators of the group modulo torsion |
j |
-5982496199424/2755690234375 |
j-invariant |
L |
4.737339734025 |
L(r)(E,1)/r! |
Ω |
0.36726757304699 |
Real period |
R |
0.32247195796983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040ce1 4940b1 |
Quadratic twists by: -4 8 |