Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118300ba |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
300672 |
Modular degree for the optimal curve |
Δ |
-36968750000 = -1 · 24 · 59 · 7 · 132 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -4 13+ 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5200,144625] |
[a1,a2,a3,a4,a6] |
Generators |
[30:125:1] |
Generators of the group modulo torsion |
j |
-368050176/875 |
j-invariant |
L |
3.3575398851079 |
L(r)(E,1)/r! |
Ω |
1.1586957672544 |
Real period |
R |
0.2414740761294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23660d1 118300j1 |
Quadratic twists by: 5 13 |