Atkin-Lehner |
2+ 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810f |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62400 |
Modular degree for the optimal curve |
Δ |
-340726901760 = -1 · 210 · 310 · 5 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1207,23493] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:71:1] [-7:125:1] |
Generators of the group modulo torsion |
j |
3963575296919/6953610240 |
j-invariant |
L |
5.160485121226 |
L(r)(E,1)/r! |
Ω |
0.65869117780695 |
Real period |
R |
1.9586132679077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101430fm1 33810bh1 |
Quadratic twists by: -3 -7 |