Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200d |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-5292000000 = -1 · 28 · 33 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -3 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6300,192500] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-50:1] [-26:582:1] |
Generators of the group modulo torsion |
j |
-5225472 |
j-invariant |
L |
11.00725458818 |
L(r)(E,1)/r! |
Ω |
1.3193115440909 |
Real period |
R |
0.52144879262877 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88200el1 3528r1 88200a1 |
Quadratic twists by: -3 5 -7 |