Atkin-Lehner |
2- 3+ 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
112140b |
Isogeny class |
Conductor |
112140 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3902976 |
Modular degree for the optimal curve |
Δ |
6.8800262023828E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2214168,124725533] |
[a1,a2,a3,a4,a6] |
Generators |
[-171513147526:-6205140242619:170031464] |
Generators of the group modulo torsion |
j |
2778892041383052705792/1592598657958984375 |
j-invariant |
L |
5.4197346839224 |
L(r)(E,1)/r! |
Ω |
0.13780862580993 |
Real period |
R |
19.663989271804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112140c1 |
Quadratic twists by: -3 |