Atkin-Lehner |
2- 3+ 5- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050by |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
270720 |
Modular degree for the optimal curve |
Δ |
-4961854687500 = -1 · 22 · 32 · 58 · 233 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -1 5 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8763,329781] |
[a1,a2,a3,a4,a6] |
Generators |
[79:332:1] |
Generators of the group modulo torsion |
j |
-190513260625/12702348 |
j-invariant |
L |
10.54015707423 |
L(r)(E,1)/r! |
Ω |
0.75598638982867 |
Real period |
R |
3.4855644315142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100050be1 |
Quadratic twists by: 5 |