Atkin-Lehner |
2+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200r |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
227520 |
Modular degree for the optimal curve |
Δ |
-151043750000 = -1 · 24 · 58 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 0 5- 5 11+ 13- -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203875,-35431875] |
[a1,a2,a3,a4,a6] |
Generators |
[4676:318201:1] |
Generators of the group modulo torsion |
j |
-149946252744960/24167 |
j-invariant |
L |
6.8695380676476 |
L(r)(E,1)/r! |
Ω |
0.11233848464575 |
Real period |
R |
6.7944837418193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28600w1 57200a1 |
Quadratic twists by: -4 5 |