Atkin-Lehner |
5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76705c |
Isogeny class |
Conductor |
76705 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
321024 |
Modular degree for the optimal curve |
Δ |
-1542811530671875 = -1 · 56 · 237 · 29 |
Discriminant |
Eigenvalues |
0 -2 5+ -2 0 5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,13049,-1796254] |
[a1,a2,a3,a4,a6] |
Generators |
[92:437:1] [590:14547:1] |
Generators of the group modulo torsion |
j |
1659797504/10421875 |
j-invariant |
L |
5.6849766881053 |
L(r)(E,1)/r! |
Ω |
0.23799039593985 |
Real period |
R |
2.9859275757547 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3335b1 |
Quadratic twists by: -23 |