Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200bn |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
104162436000000 = 28 · 312 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56775,5183750] |
[a1,a2,a3,a4,a6] |
Generators |
[-170:3150:1] |
Generators of the group modulo torsion |
j |
6940769488/35721 |
j-invariant |
L |
5.1515374102699 |
L(r)(E,1)/r! |
Ω |
0.59941112484537 |
Real period |
R |
2.1485826658618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12600m2 100800na2 8400f2 1008e2 |
Quadratic twists by: -4 8 -3 5 |