Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28600w |
Isogeny class |
Conductor |
28600 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
113760 |
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 |
[225:975:1] |
Generators of the group modulo torsion |
j |
-149946252744960/24167 |
j-invariant |
L |
3.6378825615669 |
L(r)(E,1)/r! |
Ω |
0.80630137548487 |
Real period |
R |
0.25065638345486 |
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 |
57200r1 28600f1 |
Quadratic twists by: -4 5 |