Atkin-Lehner |
2- 3+ 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
114390s |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
-656448520320 = -1 · 27 · 39 · 5 · 31 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 3 6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11207,-455489] |
[a1,a2,a3,a4,a6] |
j |
-7907955283467/33351040 |
j-invariant |
L |
6.4945431375776 |
L(r)(E,1)/r! |
Ω |
0.2319480042529 |
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 |
114390a1 |
Quadratic twists by: -3 |