Atkin-Lehner |
2+ 3+ 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
45990h |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-3676210650000 = -1 · 24 · 33 · 55 · 7 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 -6 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3654,-124540] |
[a1,a2,a3,a4,a6] |
Generators |
[496:10702:1] |
Generators of the group modulo torsion |
j |
-199863013333563/136155950000 |
j-invariant |
L |
4.3835328939789 |
L(r)(E,1)/r! |
Ω |
0.2979964795542 |
Real period |
R |
0.2451669283991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45990bi1 |
Quadratic twists by: -3 |