Atkin-Lehner |
7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58121b |
Isogeny class |
Conductor |
58121 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-92157564694447 = -1 · 7 · 196 · 234 |
Discriminant |
Eigenvalues |
1 0 2 7- 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9499,-296240] |
[a1,a2,a3,a4,a6] |
Generators |
[10087503291636970:-369635664914266295:7760039997592] |
Generators of the group modulo torsion |
j |
2014698447/1958887 |
j-invariant |
L |
7.8355557870859 |
L(r)(E,1)/r! |
Ω |
0.32843405228677 |
Real period |
R |
23.857318485786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
161a4 |
Quadratic twists by: -19 |