Atkin-Lehner |
2- 11+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
76912f |
Isogeny class |
Conductor |
76912 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9676800 |
Modular degree for the optimal curve |
Δ |
2.074509652892E+22 |
Discriminant |
Eigenvalues |
2- 0 2 2 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-367855139,2715575869730] |
[a1,a2,a3,a4,a6] |
Generators |
[117967429545:-37034334651392:1157625] |
Generators of the group modulo torsion |
j |
1343984459288955058990366713/5064720832255901696 |
j-invariant |
L |
7.5866933531876 |
L(r)(E,1)/r! |
Ω |
0.10642073344073 |
Real period |
R |
11.881602871207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9614c1 |
Quadratic twists by: -4 |