Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210bj |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
539320320 |
Modular degree for the optimal curve |
Δ |
3.9939207962736E+31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17537569965,840631702001701] |
[a1,a2,a3,a4,a6] |
j |
318929057401476905525449/21353131537921474560 |
j-invariant |
L |
0.080174821307436 |
L(r)(E,1)/r! |
Ω |
0.020043962404452 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41070ba1 3330y1 |
Quadratic twists by: -3 37 |