Atkin-Lehner |
2+ 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810d |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
146972070 = 2 · 34 · 5 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-403,-3233] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:11:1] [-11:10:1] |
Generators of the group modulo torsion |
j |
21184951663/428490 |
j-invariant |
L |
5.2695926337234 |
L(r)(E,1)/r! |
Ω |
1.0665150573214 |
Real period |
R |
2.4704726846328 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430fd2 33810bl2 |
Quadratic twists by: -3 -7 |