Atkin-Lehner |
2+ 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978u |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
96816384 |
Modular degree for the optimal curve |
Δ |
-1.2085570358771E+29 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ 4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2908503022,-62648621785312] |
[a1,a2,a3,a4,a6] |
Generators |
[426213793166:208780902792127:1685159] |
Generators of the group modulo torsion |
j |
-9632785061827893455502313/427845285615476146176 |
j-invariant |
L |
7.3372307324891 |
L(r)(E,1)/r! |
Ω |
0.010252411838616 |
Real period |
R |
19.879416472883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54978c1 |
Quadratic twists by: -7 |