Atkin-Lehner |
3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635bl |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1433600 |
Modular degree for the optimal curve |
Δ |
-209987787314851875 = -1 · 311 · 54 · 79 · 47 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -5 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-584472,173393617] |
[a1,a2,a3,a4,a6] |
Generators |
[637:7717:1] |
Generators of the group modulo torsion |
j |
-750593769472/7138125 |
j-invariant |
L |
5.2599263895809 |
L(r)(E,1)/r! |
Ω |
0.31777768484826 |
Real period |
R |
1.0345137968317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34545a1 103635l1 |
Quadratic twists by: -3 -7 |