Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
40768bp |
Isogeny class |
Conductor |
40768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1100159419154432 = -1 · 221 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ -1 2 7- -1 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14177,-1718303] |
[a1,a2,a3,a4,a6] |
Generators |
[233:2752:1] |
Generators of the group modulo torsion |
j |
-29791/104 |
j-invariant |
L |
5.0937577711143 |
L(r)(E,1)/r! |
Ω |
0.20087165471604 |
Real period |
R |
3.1697838218598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40768dk1 1274b1 40768q1 |
Quadratic twists by: -4 8 -7 |