Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200bg |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-54326240744652800 = -1 · 214 · 52 · 77 · 115 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ 11- 6 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-311260,67773680] |
[a1,a2,a3,a4,a6] |
j |
-8142048846461520/132632423693 |
j-invariant |
L |
7.0941195138262 |
L(r)(E,1)/r! |
Ω |
0.35470591076986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200ga1 7700c1 123200du1 |
Quadratic twists by: -4 8 5 |