Atkin-Lehner |
2+ 5- 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
116150l |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
61839360 |
Modular degree for the optimal curve |
Δ |
9.71961234048E+26 |
Discriminant |
Eigenvalues |
2+ 2 5- 1 3 -3 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-338749200,1873058624000] |
[a1,a2,a3,a4,a6] |
Generators |
[48272:463392560:343] |
Generators of the group modulo torsion |
j |
11005214562430426504127785/2488220759162872147712 |
j-invariant |
L |
7.8184928736821 |
L(r)(E,1)/r! |
Ω |
0.046642524159135 |
Real period |
R |
3.8096784637411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116150w1 |
Quadratic twists by: 5 |