Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515h |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-7157176915 = -1 · 5 · 76 · 233 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,449,-1740] |
[a1,a2,a3,a4,a6] |
Generators |
[16:90:1] |
Generators of the group modulo torsion |
j |
822656953/588245 |
j-invariant |
L |
1.8815785085899 |
L(r)(E,1)/r! |
Ω |
0.74598119514322 |
Real period |
R |
0.84076226087202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92575f2 129605ba2 18515k2 |
Quadratic twists by: 5 -7 -23 |