Atkin-Lehner |
2+ 3- 5+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
122550u |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-136856104031250 = -1 · 2 · 38 · 56 · 192 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34201,2495798] |
[a1,a2,a3,a4,a6] |
Generators |
[76:-619:1] |
Generators of the group modulo torsion |
j |
-283140402954625/8758790658 |
j-invariant |
L |
7.4950169702457 |
L(r)(E,1)/r! |
Ω |
0.58038150728698 |
Real period |
R |
0.80712178574537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902i2 |
Quadratic twists by: 5 |