Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37400d |
Isogeny class |
Conductor |
37400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-144812800 = -1 · 28 · 52 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20,580] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:22:1] [24:118:1] |
Generators of the group modulo torsion |
j |
-138240/22627 |
j-invariant |
L |
8.2275649581197 |
L(r)(E,1)/r! |
Ω |
1.5000029051498 |
Real period |
R |
0.45708605684881 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800a1 37400w1 |
Quadratic twists by: -4 5 |