Atkin-Lehner |
5+ 7- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
103075o |
Isogeny class |
Conductor |
103075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-10495933984375 = -1 · 58 · 74 · 192 · 31 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- 0 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3787,127792] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:1827:8] [21:-476:1] |
Generators of the group modulo torsion |
j |
384399163511/671739775 |
j-invariant |
L |
5.3093264633088 |
L(r)(E,1)/r! |
Ω |
0.49491545798941 |
Real period |
R |
1.3409680324078 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20615a1 |
Quadratic twists by: 5 |