Atkin-Lehner |
2- 3+ 7+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
33306l |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-1821544071250176 = -1 · 28 · 35 · 75 · 134 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 0 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-383390,91234523] |
[a1,a2,a3,a4,a6] |
Generators |
[377:487:1] |
Generators of the group modulo torsion |
j |
-6232268073992169051361/1821544071250176 |
j-invariant |
L |
7.7602729253336 |
L(r)(E,1)/r! |
Ω |
0.45942718175202 |
Real period |
R |
1.0556995256217 |
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 |
99918d1 |
Quadratic twists by: -3 |