Atkin-Lehner |
2+ 3- 5+ 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830ba |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
58355012477610 = 2 · 37 · 5 · 193 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -6 -7 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21150,1130706] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:411:1] [-1074:10455:8] |
Generators of the group modulo torsion |
j |
1435287323858401/80048028090 |
j-invariant |
L |
6.837131085093 |
L(r)(E,1)/r! |
Ω |
0.61653337007882 |
Real period |
R |
2.7724091746376 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999976394 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
41610bm2 |
Quadratic twists by: -3 |