Atkin-Lehner |
3+ 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36975q |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
285120 |
Modular degree for the optimal curve |
Δ |
-118067530078125 = -1 · 36 · 58 · 17 · 293 |
Discriminant |
Eigenvalues |
1 3+ 5- 1 -4 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1180450,-494142875] |
[a1,a2,a3,a4,a6] |
Generators |
[134388980:1198957685:103823] |
Generators of the group modulo torsion |
j |
-465700862024723785/302252877 |
j-invariant |
L |
4.9829062722793 |
L(r)(E,1)/r! |
Ω |
0.072419845684899 |
Real period |
R |
11.467635298847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110925bt1 36975u1 |
Quadratic twists by: -3 5 |