Atkin-Lehner |
2+ 3- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994p |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-52252022816825754 = -1 · 2 · 3 · 136 · 715 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 3 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38874,-11389922] |
[a1,a2,a3,a4,a6] |
Generators |
[352:4133:1] [586:12635:1] |
Generators of the group modulo torsion |
j |
-1345938541921/10825376106 |
j-invariant |
L |
8.4739444894099 |
L(r)(E,1)/r! |
Ω |
0.14973786349635 |
Real period |
R |
14.147965470442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
426a2 |
Quadratic twists by: 13 |