Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33396d |
Isogeny class |
Conductor |
33396 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-210857114319984 = -1 · 24 · 35 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 11- 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20126,1308969] |
[a1,a2,a3,a4,a6] |
Generators |
[-128:1331:1] |
Generators of the group modulo torsion |
j |
-31808383744/7438959 |
j-invariant |
L |
5.0616672619017 |
L(r)(E,1)/r! |
Ω |
0.53645338488603 |
Real period |
R |
0.78628566254287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100188bc1 3036a1 |
Quadratic twists by: -3 -11 |