Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200cl |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-11767111801200 = -1 · 24 · 36 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5145,84035] |
[a1,a2,a3,a4,a6] |
Generators |
[98:3087:8] |
Generators of the group modulo torsion |
j |
1280 |
j-invariant |
L |
6.7321899334092 |
L(r)(E,1)/r! |
Ω |
0.4593749779998 |
Real period |
R |
1.831888505428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975888 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800bi1 88200ij1 88200cj1 |
Quadratic twists by: -3 5 -7 |