Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710bw |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
42190858222390800 = 24 · 32 · 52 · 134 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-88151,-1990051] |
[a1,a2,a3,a4,a6] |
Generators |
[-271:1580:1] |
Generators of the group modulo torsion |
j |
3138428376721/1747933200 |
j-invariant |
L |
8.5940744999471 |
L(r)(E,1)/r! |
Ω |
0.29726359456346 |
Real period |
R |
1.8069136816987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002961 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6630ba1 |
Quadratic twists by: 17 |