Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200bw |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-3861083559768750000 = -1 · 24 · 37 · 58 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,95550,-93853375] |
[a1,a2,a3,a4,a6] |
Generators |
[4501:302526:1] |
Generators of the group modulo torsion |
j |
4499456/180075 |
j-invariant |
L |
6.1167659617434 |
L(r)(E,1)/r! |
Ω |
0.11918553842648 |
Real period |
R |
3.2075860669562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400cp1 17640by1 12600l1 |
Quadratic twists by: -3 5 -7 |