Atkin-Lehner |
2- 5- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
113300h |
Isogeny class |
Conductor |
113300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46944 |
Modular degree for the optimal curve |
Δ |
-181280000 = -1 · 28 · 54 · 11 · 103 |
Discriminant |
Eigenvalues |
2- 1 5- 0 11+ 0 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4108,99988] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:448:1] |
Generators of the group modulo torsion |
j |
-47929262800/1133 |
j-invariant |
L |
7.2638384946897 |
L(r)(E,1)/r! |
Ω |
1.6666204064712 |
Real period |
R |
4.3584240531392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113300d1 |
Quadratic twists by: 5 |