Atkin-Lehner |
3- 7+ 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114471n |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-14714903637 = -1 · 37 · 7 · 233 · 79 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ -2 0 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,310,5366] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-110:1] |
Generators of the group modulo torsion |
j |
4533086375/20185053 |
j-invariant |
L |
3.254969049099 |
L(r)(E,1)/r! |
Ω |
0.89375520071985 |
Real period |
R |
0.30349185104923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38157d1 |
Quadratic twists by: -3 |