Atkin-Lehner |
3+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18315g |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1229943825 = 33 · 52 · 113 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2117,-36916] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:18:1] |
Generators of the group modulo torsion |
j |
38844557925363/45553475 |
j-invariant |
L |
3.1671815003521 |
L(r)(E,1)/r! |
Ω |
0.70390807813781 |
Real period |
R |
0.74990414201308 |
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 |
18315a1 91575l1 |
Quadratic twists by: -3 5 |