Atkin-Lehner |
2+ 5- 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
97850d |
Isogeny class |
Conductor |
97850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-12231250000 = -1 · 24 · 58 · 19 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 4 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1451,21798] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-64:1] |
Generators of the group modulo torsion |
j |
-864043465/31312 |
j-invariant |
L |
2.6848176705048 |
L(r)(E,1)/r! |
Ω |
1.2595424405396 |
Real period |
R |
0.35526362473235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999736399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97850j1 |
Quadratic twists by: 5 |