Atkin-Lehner |
2+ 3+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
43608b |
Isogeny class |
Conductor |
43608 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-705432312576 = -1 · 28 · 35 · 23 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 -3 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2025,54189] |
[a1,a2,a3,a4,a6] |
Generators |
[35:158:1] |
Generators of the group modulo torsion |
j |
-3588998511616/2755594971 |
j-invariant |
L |
3.61754331337 |
L(r)(E,1)/r! |
Ω |
0.83054211537613 |
Real period |
R |
0.36297008568143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87216a1 |
Quadratic twists by: -4 |