Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810z |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
22999953178440 = 23 · 39 · 5 · 74 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13599,-566198] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:210:1] |
Generators of the group modulo torsion |
j |
115826135082889/9579322440 |
j-invariant |
L |
5.2264860263179 |
L(r)(E,1)/r! |
Ω |
0.4444310001284 |
Real period |
R |
1.3066610326982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
101430eo1 33810u1 |
Quadratic twists by: -3 -7 |