Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
23700l |
Isogeny class |
Conductor |
23700 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-6219828000000 = -1 · 28 · 39 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -1 -5 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19908,1081188] |
[a1,a2,a3,a4,a6] |
Generators |
[108:450:1] |
Generators of the group modulo torsion |
j |
-218156637904/1554957 |
j-invariant |
L |
7.0791149048507 |
L(r)(E,1)/r! |
Ω |
0.7581297674158 |
Real period |
R |
0.17291857686456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94800bm1 71100h1 948b1 |
Quadratic twists by: -4 -3 5 |