Atkin-Lehner |
3+ 7+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114471a |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3045985052859 = -1 · 39 · 7 · 234 · 79 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ 0 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1782,-78820] |
[a1,a2,a3,a4,a6] |
Generators |
[30:40:1] |
Generators of the group modulo torsion |
j |
31794757632/154752073 |
j-invariant |
L |
4.1158994986007 |
L(r)(E,1)/r! |
Ω |
0.40301637952004 |
Real period |
R |
2.5531837688536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999599353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114471c1 |
Quadratic twists by: -3 |