Atkin-Lehner |
2+ 3- 11+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
97614j |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-1468203147856760832 = -1 · 212 · 310 · 114 · 17 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 2 -3 11+ -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-244746,-74574860] |
[a1,a2,a3,a4,a6] |
Generators |
[2948:156062:1] |
Generators of the group modulo torsion |
j |
-2224047149054299297/2013996087595008 |
j-invariant |
L |
4.0647634615714 |
L(r)(E,1)/r! |
Ω |
0.10343975826628 |
Real period |
R |
4.9119936286306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999831797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32538o1 |
Quadratic twists by: -3 |