Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800m |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-622598508000000 = -1 · 28 · 33 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 3 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11433,1293237] |
[a1,a2,a3,a4,a6] |
Generators |
[572:13475:1] |
Generators of the group modulo torsion |
j |
-7168/27 |
j-invariant |
L |
6.0316633955267 |
L(r)(E,1)/r! |
Ω |
0.44895546681856 |
Real period |
R |
2.239146879597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400dw1 2352f1 58800du1 |
Quadratic twists by: -4 5 -7 |