Atkin-Lehner |
2+ 3+ 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458a |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6525938974494449664 = -1 · 213 · 33 · 72 · 118 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-208416,128300032] |
[a1,a2,a3,a4,a6] |
Generators |
[359:9803:1] |
Generators of the group modulo torsion |
j |
-37081243502176753179/241701443499794432 |
j-invariant |
L |
5.3512381337406 |
L(r)(E,1)/r! |
Ω |
0.20460495355699 |
Real period |
R |
1.6346250536799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73458s2 |
Quadratic twists by: -3 |