Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920fz |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-14571110400 = -1 · 215 · 3 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-385,6625] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:88:1] |
Generators of the group modulo torsion |
j |
-193100552/444675 |
j-invariant |
L |
5.7743600107537 |
L(r)(E,1)/r! |
Ω |
1.107485589231 |
Real period |
R |
0.65174211586631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920hk2 36960bp2 |
Quadratic twists by: -4 8 |