Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570cg |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
13234665427200 = 28 · 34 · 52 · 77 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7890,-208545] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:273:1] |
Generators of the group modulo torsion |
j |
461710681489/112492800 |
j-invariant |
L |
8.9630246304636 |
L(r)(E,1)/r! |
Ω |
0.51555549312894 |
Real period |
R |
0.54328684968906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510t1 |
Quadratic twists by: -7 |