Atkin-Lehner |
2+ 3- 5+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103230g |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-334465200 = -1 · 24 · 36 · 52 · 31 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 2 -5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,135,-675] |
[a1,a2,a3,a4,a6] |
Generators |
[6:15:1] [10:35:1] |
Generators of the group modulo torsion |
j |
371694959/458800 |
j-invariant |
L |
7.0840343007767 |
L(r)(E,1)/r! |
Ω |
0.91658202285591 |
Real period |
R |
0.96609388515991 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11470d1 |
Quadratic twists by: -3 |