Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920fv |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
17217816000 = 26 · 3 · 53 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24540,1487850] |
[a1,a2,a3,a4,a6] |
Generators |
[95:70:1] [235:2940:1] |
Generators of the group modulo torsion |
j |
25537895799171904/269028375 |
j-invariant |
L |
9.7300637113913 |
L(r)(E,1)/r! |
Ω |
1.1151313159396 |
Real period |
R |
2.9084956400345 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920hu1 36960w4 |
Quadratic twists by: -4 8 |