Atkin-Lehner |
3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78351u |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-4626081338376771 = -1 · 32 · 77 · 135 · 412 |
Discriminant |
Eigenvalues |
2 3- 1 7- 4 13- 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,2140,-3271453] |
[a1,a2,a3,a4,a6] |
Generators |
[1850:24839:8] |
Generators of the group modulo torsion |
j |
9208180736/39321042579 |
j-invariant |
L |
18.421994956471 |
L(r)(E,1)/r! |
Ω |
0.2013051963757 |
Real period |
R |
1.1439095517035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11193b1 |
Quadratic twists by: -7 |