Atkin-Lehner |
2- 3- 7+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113274bj |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
53519791237504704 = 26 · 318 · 74 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 6 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-114062,-9767203] |
[a1,a2,a3,a4,a6] |
j |
225120767835195289/73415351491776 |
j-invariant |
L |
6.3968760591871 |
L(r)(E,1)/r! |
Ω |
0.26653650957254 |
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 |
37758h1 |
Quadratic twists by: -3 |