Atkin-Lehner |
2+ 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800d |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-27864687500000000 = -1 · 28 · 513 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 -2 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13508,-8049488] |
[a1,a2,a3,a4,a6] |
Generators |
[1812:76900:1] |
Generators of the group modulo torsion |
j |
-68150496976/6966171875 |
j-invariant |
L |
3.4923143879466 |
L(r)(E,1)/r! |
Ω |
0.16568871275738 |
Real period |
R |
5.2693909135151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49400a1 19760i1 |
Quadratic twists by: -4 5 |