Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600bl |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-271470487500000000 = -1 · 28 · 36 · 511 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8651700,-9794938500] |
[a1,a2,a3,a4,a6] |
Generators |
[488599912461579035:69797700301111255925:23440310700659] |
Generators of the group modulo torsion |
j |
-24560689104608256/93096875 |
j-invariant |
L |
7.0373773038639 |
L(r)(E,1)/r! |
Ω |
0.044014330205763 |
Real period |
R |
26.648053300538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55800n1 12400k1 22320h1 |
Quadratic twists by: -4 -3 5 |