Atkin-Lehner |
3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12915s |
Isogeny class |
Conductor |
12915 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-71527754909071125 = -1 · 310 · 53 · 78 · 412 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 2 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-160119,-27776250] |
[a1,a2,a3,a4,a6] |
Generators |
[726:15072:1] |
Generators of the group modulo torsion |
j |
-622768040074052209/98117633620125 |
j-invariant |
L |
5.9607404822385 |
L(r)(E,1)/r! |
Ω |
0.11830701708835 |
Real period |
R |
1.0496595758748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4305h2 64575t2 90405p2 |
Quadratic twists by: -3 5 -7 |