Atkin-Lehner |
2+ 3- 7+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038h |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2129920 |
Modular degree for the optimal curve |
Δ |
2112295931328135168 = 216 · 311 · 74 · 11 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1139607,-462717923] |
[a1,a2,a3,a4,a6] |
Generators |
[18638:2530841:1] |
Generators of the group modulo torsion |
j |
224523458222620992625/2897525283028992 |
j-invariant |
L |
3.1294651487409 |
L(r)(E,1)/r! |
Ω |
0.14623449211064 |
Real period |
R |
2.6750401557831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000012874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38346i1 |
Quadratic twists by: -3 |