Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
68355n |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
1.2116205971562E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2549430,-1557183825] |
[a1,a2,a3,a4,a6] |
Generators |
[22570:3370695:1] |
Generators of the group modulo torsion |
j |
21366693269481169/141270303825 |
j-invariant |
L |
5.5979184105537 |
L(r)(E,1)/r! |
Ω |
0.11952583462636 |
Real period |
R |
5.8542975552504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785q1 9765l1 |
Quadratic twists by: -3 -7 |