Atkin-Lehner |
3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36075g |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
421878002431640625 = 312 · 510 · 133 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-194213,-10506094] |
[a1,a2,a3,a4,a6] |
Generators |
[-264:4870:1] |
Generators of the group modulo torsion |
j |
51848800828831369/27000192155625 |
j-invariant |
L |
1.7687849174244 |
L(r)(E,1)/r! |
Ω |
0.2408141200037 |
Real period |
R |
1.2241702697199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108225bc1 7215f1 |
Quadratic twists by: -3 5 |