Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200cy |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-12007256940000000 = -1 · 28 · 36 · 57 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 5 1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14700,5316500] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:-2450:1] |
Generators of the group modulo torsion |
j |
-1024/35 |
j-invariant |
L |
7.7535481210957 |
L(r)(E,1)/r! |
Ω |
0.33462718359445 |
Real period |
R |
0.36204228252154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800bf1 17640cj1 12600w1 |
Quadratic twists by: -3 5 -7 |