Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15400d |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.076561880625E+22 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6022075,-2726552250] |
[a1,a2,a3,a4,a6] |
Generators |
[2666:12936:1] |
Generators of the group modulo torsion |
j |
1509531602170901796/672851175390625 |
j-invariant |
L |
4.672009327561 |
L(r)(E,1)/r! |
Ω |
0.10045207175844 |
Real period |
R |
3.875819620389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30800a2 123200bh2 3080c2 107800l2 |
Quadratic twists by: -4 8 5 -7 |