Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470bw |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2421763605716650650 = -1 · 2 · 38 · 52 · 76 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,47880,74752146] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:5481:1] |
Generators of the group modulo torsion |
j |
3449795831/688246650 |
j-invariant |
L |
5.8159873116076 |
L(r)(E,1)/r! |
Ω |
0.19924153037283 |
Real period |
R |
0.60813828350203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490dv2 8190bo2 |
Quadratic twists by: -3 13 |