Atkin-Lehner |
2+ 3+ 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458a |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
9842111973163008 = 226 · 33 · 7 · 114 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-331296,73323520] |
[a1,a2,a3,a4,a6] |
Generators |
[345:-145:1] |
Generators of the group modulo torsion |
j |
148939284213727483419/364522665672704 |
j-invariant |
L |
5.3512381337406 |
L(r)(E,1)/r! |
Ω |
0.40920990711398 |
Real period |
R |
3.2692501073599 |
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 |
73458s1 |
Quadratic twists by: -3 |