Atkin-Lehner |
3- 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102921i |
Isogeny class |
Conductor |
102921 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
365266629 = 32 · 72 · 134 · 29 |
Discriminant |
Eigenvalues |
0 3- 1 7+ -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-225,-997] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:19:1] [27:115:1] |
Generators of the group modulo torsion |
j |
44302336/12789 |
j-invariant |
L |
11.609694920993 |
L(r)(E,1)/r! |
Ω |
1.259397189767 |
Real period |
R |
0.76820449064495 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102921k1 |
Quadratic twists by: 13 |