Atkin-Lehner |
3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18315m |
Isogeny class |
Conductor |
18315 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-2030932035 = -1 · 36 · 5 · 11 · 373 |
Discriminant |
Eigenvalues |
2 3- 5+ 3 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-423,3989] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:653:8] |
Generators of the group modulo torsion |
j |
-11481993216/2785915 |
j-invariant |
L |
10.536721930143 |
L(r)(E,1)/r! |
Ω |
1.4030990542188 |
Real period |
R |
3.7548033043218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2035d1 91575br1 |
Quadratic twists by: -3 5 |