Atkin-Lehner |
2- 3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550cu |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
1360800 |
Modular degree for the optimal curve |
Δ |
5991751237500000 = 25 · 39 · 58 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2933263,1932409781] |
[a1,a2,a3,a4,a6] |
Generators |
[985:-318:1] |
Generators of the group modulo torsion |
j |
7145237996368285585/15338883168 |
j-invariant |
L |
9.1468301024497 |
L(r)(E,1)/r! |
Ω |
0.36646096246835 |
Real period |
R |
0.55466451273162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550bd1 |
Quadratic twists by: 5 |