Atkin-Lehner |
3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635bm |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
136080 |
Modular degree for the optimal curve |
Δ |
503875960875 = 36 · 53 · 76 · 47 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 3 3 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2214,21573] |
[a1,a2,a3,a4,a6] |
Generators |
[4:111:1] |
Generators of the group modulo torsion |
j |
13997521/5875 |
j-invariant |
L |
9.7342512944022 |
L(r)(E,1)/r! |
Ω |
0.84071107098843 |
Real period |
R |
3.8595309978278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999777196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11515c1 2115c1 |
Quadratic twists by: -3 -7 |