Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2800u |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-40140800 = -1 · 215 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,72,-172] |
[a1,a2,a3,a4,a6] |
Generators |
[22:112:1] |
Generators of the group modulo torsion |
j |
397535/392 |
j-invariant |
L |
3.7572083307961 |
L(r)(E,1)/r! |
Ω |
1.1117984111661 |
Real period |
R |
0.42242463798532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
350c1 11200cm1 25200en1 2800z1 |
Quadratic twists by: -4 8 -3 5 |