Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568t |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-219188384832301248 = -1 · 26 · 3 · 72 · 1312 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-865674,-310541700] |
[a1,a2,a3,a4,a6] |
j |
-232245467895232/709540923 |
j-invariant |
L |
0.3129768008049 |
L(r)(E,1)/r! |
Ω |
0.078244076239545 |
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 |
113568bd1 8736o1 |
Quadratic twists by: -4 13 |