Atkin-Lehner |
2+ 3+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970i |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
668160 |
Modular degree for the optimal curve |
Δ |
2389264257600 = 26 · 310 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11+ 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-256962,50029236] |
[a1,a2,a3,a4,a6] |
j |
1409791893399845171/1795089600 |
j-invariant |
L |
2.764886132125 |
L(r)(E,1)/r! |
Ω |
0.69122153072943 |
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 |
68970bs1 |
Quadratic twists by: -11 |