Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
99176o |
Isogeny class |
Conductor |
99176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-256695058928 = -1 · 24 · 78 · 112 · 23 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 11+ 1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1356,-15455] |
[a1,a2,a3,a4,a6] |
Generators |
[12:49:1] [28:209:1] |
Generators of the group modulo torsion |
j |
146377472/136367 |
j-invariant |
L |
7.8438851077066 |
L(r)(E,1)/r! |
Ω |
0.53820225369308 |
Real period |
R |
1.8217791391732 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14168i1 |
Quadratic twists by: -7 |