Atkin-Lehner |
2+ 3- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
110952b |
Isogeny class |
Conductor |
110952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-39309627888 = -1 · 24 · 313 · 23 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 6 2 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,573,-7945] |
[a1,a2,a3,a4,a6] |
Generators |
[19:99:1] |
Generators of the group modulo torsion |
j |
1783774976/3370167 |
j-invariant |
L |
5.2181426684214 |
L(r)(E,1)/r! |
Ω |
0.60132570368827 |
Real period |
R |
2.1694327346495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36984b1 |
Quadratic twists by: -3 |