Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600bu |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-75045355875000000 = -1 · 26 · 36 · 59 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2042,13179412] |
[a1,a2,a3,a4,a6] |
Generators |
[11496:257642:27] |
Generators of the group modulo torsion |
j |
64/5103 |
j-invariant |
L |
6.8880569002169 |
L(r)(E,1)/r! |
Ω |
0.27267191440109 |
Real period |
R |
6.3153340673343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999699872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600ic1 117600hz1 16800z1 |
Quadratic twists by: -4 5 -7 |