Atkin-Lehner |
3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123627i |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-18700190901 = -1 · 33 · 77 · 292 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 1 -4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1569,24156] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:231:1] [27:35:1] |
Generators of the group modulo torsion |
j |
-4317433/189 |
j-invariant |
L |
5.3066066332981 |
L(r)(E,1)/r! |
Ω |
1.2124131734731 |
Real period |
R |
1.094224055807 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999874341 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17661h1 123627v1 |
Quadratic twists by: -7 29 |