Atkin-Lehner |
2+ 3+ 5- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630f |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
68681250 = 2 · 33 · 55 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- 3 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-264,1670] |
[a1,a2,a3,a4,a6] |
Generators |
[1:37:1] |
Generators of the group modulo torsion |
j |
75526045083/2543750 |
j-invariant |
L |
4.3638127822202 |
L(r)(E,1)/r! |
Ω |
1.9401487579911 |
Real period |
R |
0.22492155636241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36630u1 |
Quadratic twists by: -3 |