Atkin-Lehner |
2+ 5- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550bd |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-97192480000 = -1 · 28 · 54 · 74 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11- 4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,249,-14902] |
[a1,a2,a3,a4,a6] |
Generators |
[23:44:1] |
Generators of the group modulo torsion |
j |
2747555975/155507968 |
j-invariant |
L |
3.609082669737 |
L(r)(E,1)/r! |
Ω |
0.50969153354859 |
Real period |
R |
0.88511443398486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88550bm1 |
Quadratic twists by: 5 |