Atkin-Lehner |
2+ 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650bb |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-75634280064000000 = -1 · 213 · 34 · 56 · 72 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 0 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,67749,-11352602] |
[a1,a2,a3,a4,a6] |
Generators |
[266:4917:1] |
Generators of the group modulo torsion |
j |
2201007734483039/4840593924096 |
j-invariant |
L |
6.1939767751404 |
L(r)(E,1)/r! |
Ω |
0.17876199777402 |
Real period |
R |
4.3311615809105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2226h1 |
Quadratic twists by: 5 |