Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650co |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-35088722336718750 = -1 · 2 · 3 · 58 · 710 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 2 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-149013,23842281] |
[a1,a2,a3,a4,a6] |
Generators |
[1230:16531:8] |
Generators of the group modulo torsion |
j |
-936777248024305/89827129182 |
j-invariant |
L |
8.8607077275767 |
L(r)(E,1)/r! |
Ω |
0.35847115393604 |
Real period |
R |
0.82393498335029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650s1 |
Quadratic twists by: 5 |