Atkin-Lehner |
2+ 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920bm |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-113342423040000 = -1 · 216 · 33 · 54 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12095,12097] |
[a1,a2,a3,a4,a6] |
Generators |
[3:220:1] |
Generators of the group modulo torsion |
j |
2985557859644/1729468125 |
j-invariant |
L |
5.7144268662563 |
L(r)(E,1)/r! |
Ω |
0.35504166474443 |
Real period |
R |
4.0237720208846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920hp3 9240be4 |
Quadratic twists by: -4 8 |