Atkin-Lehner |
3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103635g |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1700581367953125 = 39 · 56 · 76 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-328187,-72255914] |
[a1,a2,a3,a4,a6] |
Generators |
[-334:289:1] |
Generators of the group modulo torsion |
j |
1688134559643/734375 |
j-invariant |
L |
3.2050944473082 |
L(r)(E,1)/r! |
Ω |
0.19947140805651 |
Real period |
R |
1.3389949410923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999124685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635b2 2115a2 |
Quadratic twists by: -3 -7 |