Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770bf |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
148364545950720 = 210 · 39 · 5 · 112 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31052,2030671] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:2069:1] |
Generators of the group modulo torsion |
j |
168224032850427/7537699840 |
j-invariant |
L |
8.6308396649912 |
L(r)(E,1)/r! |
Ω |
0.57276842885132 |
Real period |
R |
0.5022879073078 |
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 |
22770a1 113850g1 |
Quadratic twists by: -3 5 |