Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
22188a |
Isogeny class |
Conductor |
22188 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77616 |
Modular degree for the optimal curve |
Δ |
-561033613324848 = -1 · 24 · 3 · 438 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24653,1883994] |
[a1,a2,a3,a4,a6] |
Generators |
[204698260:-7764415099:140608] |
Generators of the group modulo torsion |
j |
-16384000/5547 |
j-invariant |
L |
4.6797959720991 |
L(r)(E,1)/r! |
Ω |
0.48893547678631 |
Real period |
R |
9.571397851632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88752be1 66564d1 516c1 |
Quadratic twists by: -4 -3 -43 |