Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780u |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1197504 |
Modular degree for the optimal curve |
Δ |
-82287412825791600 = -1 · 24 · 39 · 52 · 710 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168870,-30008943] |
[a1,a2,a3,a4,a6] |
Generators |
[1427:51311:1] |
Generators of the group modulo torsion |
j |
-117837470464/18206775 |
j-invariant |
L |
5.1984083452285 |
L(r)(E,1)/r! |
Ω |
0.11676144864965 |
Real period |
R |
7.4202692757702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108780v1 |
Quadratic twists by: -7 |