Atkin-Lehner |
2+ 3+ 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670b |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
341513280 = 26 · 33 · 5 · 292 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12360,-525824] |
[a1,a2,a3,a4,a6] |
Generators |
[152:968:1] [297:4535:1] |
Generators of the group modulo torsion |
j |
7734551307073947/12648640 |
j-invariant |
L |
7.8509058846732 |
L(r)(E,1)/r! |
Ω |
0.45278635700477 |
Real period |
R |
8.6695477482002 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670bj1 |
Quadratic twists by: -3 |