Atkin-Lehner |
2+ 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12710b |
Isogeny class |
Conductor |
12710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
26493232400 = 24 · 52 · 312 · 413 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 2 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1229,-14315] |
[a1,a2,a3,a4,a6] |
j |
205389443177001/26493232400 |
j-invariant |
L |
1.6262981998378 |
L(r)(E,1)/r! |
Ω |
0.81314909991892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680x1 114390bf1 63550l1 |
Quadratic twists by: -4 -3 5 |