Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920bh |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
56770560 = 214 · 32 · 5 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4625,-119535] |
[a1,a2,a3,a4,a6] |
Generators |
[217:3008:1] |
Generators of the group modulo torsion |
j |
667932971344/3465 |
j-invariant |
L |
4.814962848825 |
L(r)(E,1)/r! |
Ω |
0.57891383792696 |
Real period |
R |
4.1586178568931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000169 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ic1 9240bb1 |
Quadratic twists by: -4 8 |