Atkin-Lehner |
2- 3+ 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
94350bl |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
14745600 |
Modular degree for the optimal curve |
Δ |
3.4859511226368E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-136732338,615338804031] |
[a1,a2,a3,a4,a6] |
Generators |
[6489:33747:1] |
Generators of the group modulo torsion |
j |
18093284246487294898042969/22310087184875520 |
j-invariant |
L |
6.3417298482207 |
L(r)(E,1)/r! |
Ω |
0.14414425019446 |
Real period |
R |
0.43995718507584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870j1 |
Quadratic twists by: 5 |