Atkin-Lehner |
2- 3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630w |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-14403502080 = -1 · 218 · 33 · 5 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -4 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-728,9691] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-55:1] |
Generators of the group modulo torsion |
j |
-1578318664707/533463040 |
j-invariant |
L |
6.9251729975661 |
L(r)(E,1)/r! |
Ω |
1.1798253627351 |
Real period |
R |
0.16304609366345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36630h1 |
Quadratic twists by: -3 |