Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134o |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-89266880969586432 = -1 · 28 · 32 · 77 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-71124,16093008] |
[a1,a2,a3,a4,a6] |
Generators |
[104:3084:1] |
Generators of the group modulo torsion |
j |
-7189057/16128 |
j-invariant |
L |
5.0301088056504 |
L(r)(E,1)/r! |
Ω |
0.30135951389527 |
Real period |
R |
2.0864235997646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999825312 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162l1 294c1 |
Quadratic twists by: -7 -19 |