Atkin-Lehner |
2- 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
63756d |
Isogeny class |
Conductor |
63756 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
-42249571056 = -1 · 24 · 33 · 75 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11- -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-969,-15251] |
[a1,a2,a3,a4,a6] |
Generators |
[68:483:1] |
Generators of the group modulo torsion |
j |
-232922421504/97799933 |
j-invariant |
L |
3.9399385798756 |
L(r)(E,1)/r! |
Ω |
0.41923595506472 |
Real period |
R |
2.3494755949622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63756b1 |
Quadratic twists by: -3 |