Atkin-Lehner |
2+ 3- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5106b |
Isogeny class |
Conductor |
5106 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-2614272 = -1 · 210 · 3 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 -5 6 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75,-266] |
[a1,a2,a3,a4,a6] |
j |
-45767461033/2614272 |
j-invariant |
L |
1.6195440474915 |
L(r)(E,1)/r! |
Ω |
0.80977202374573 |
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 |
40848f1 15318l1 127650cj1 117438j1 |
Quadratic twists by: -4 -3 5 -23 |