Atkin-Lehner |
2- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
36050y |
Isogeny class |
Conductor |
36050 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-399404237120000 = -1 · 29 · 54 · 76 · 1032 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 3 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4913,970217] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1059:1] |
Generators of the group modulo torsion |
j |
-20984059643425/639046779392 |
j-invariant |
L |
10.694967660489 |
L(r)(E,1)/r! |
Ω |
0.44516486785746 |
Real period |
R |
0.66735372996394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36050d1 |
Quadratic twists by: 5 |