Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715b |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2006183384218125 = -1 · 33 · 54 · 7 · 198 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,29715,-877450] |
[a1,a2,a3,a4,a6] |
Generators |
[164846:23581127:8] |
Generators of the group modulo torsion |
j |
2284322013/1579375 |
j-invariant |
L |
6.7015817120478 |
L(r)(E,1)/r! |
Ω |
0.26353212026683 |
Real period |
R |
6.3574619179363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113715e2 5985b2 |
Quadratic twists by: -3 -19 |