Atkin-Lehner |
2+ 3- 7+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74214c |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-102336950016 = -1 · 28 · 36 · 72 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6378,198260] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:613:1] [20:270:1] |
Generators of the group modulo torsion |
j |
-39362985482913/140379904 |
j-invariant |
L |
6.4501318262013 |
L(r)(E,1)/r! |
Ω |
1.0665464796862 |
Real period |
R |
1.5119200028008 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8246b1 |
Quadratic twists by: -3 |