Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
23100o |
Isogeny class |
Conductor |
23100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
4092095700000000 = 28 · 312 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 1 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-102333,12252537] |
[a1,a2,a3,a4,a6] |
j |
1185154785280/40920957 |
j-invariant |
L |
0.87253340072684 |
L(r)(E,1)/r! |
Ω |
0.43626670036342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400hz1 69300cn1 23100r1 |
Quadratic twists by: -4 -3 5 |