Atkin-Lehner |
2+ 3+ 7- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
37842d |
Isogeny class |
Conductor |
37842 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-5306886396 = -1 · 22 · 34 · 73 · 17 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-196,3580] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:-62:1] [-11:73:1] |
Generators of the group modulo torsion |
j |
-839362385737/5306886396 |
j-invariant |
L |
5.0688642896565 |
L(r)(E,1)/r! |
Ω |
1.1714577059001 |
Real period |
R |
0.72116194267006 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113526bl1 |
Quadratic twists by: -3 |