Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808x |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-11645776994544 = -1 · 24 · 313 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ -1 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1500051,707142863] |
[a1,a2,a3,a4,a6] |
Generators |
[707:-7:1] |
Generators of the group modulo torsion |
j |
-93303976999933696/2910897 |
j-invariant |
L |
7.2456442475606 |
L(r)(E,1)/r! |
Ω |
0.52521972512557 |
Real period |
R |
1.7244316761495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616cm1 12936v1 38808y1 |
Quadratic twists by: -4 -3 -7 |