Atkin-Lehner |
2+ 3+ 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
10434b |
Isogeny class |
Conductor |
10434 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1904 |
Modular degree for the optimal curve |
Δ |
-667776 = -1 · 27 · 3 · 37 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 4 0 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12,-48] |
[a1,a2,a3,a4,a6] |
Generators |
[7:13:1] |
Generators of the group modulo torsion |
j |
-217081801/667776 |
j-invariant |
L |
2.6950761832815 |
L(r)(E,1)/r! |
Ω |
1.1717532224061 |
Real period |
R |
2.3000373557731 |
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 |
83472t1 31302m1 |
Quadratic twists by: -4 -3 |