Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800gi |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
138972881250000 = 24 · 33 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75133,7931512] |
[a1,a2,a3,a4,a6] |
Generators |
[72:1700:1] |
Generators of the group modulo torsion |
j |
1594753024/4725 |
j-invariant |
L |
4.1511219025096 |
L(r)(E,1)/r! |
Ω |
0.5842115638425 |
Real period |
R |
3.5527556790918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700bk1 11760ct1 8400ck1 |
Quadratic twists by: -4 5 -7 |