Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075z |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
952320 |
Modular degree for the optimal curve |
Δ |
160620704626076325 = 35 · 52 · 319 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 5 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-993033,-380727601] |
[a1,a2,a3,a4,a6] |
Generators |
[188955:4960139:125] |
Generators of the group modulo torsion |
j |
163840000/243 |
j-invariant |
L |
6.6446170860668 |
L(r)(E,1)/r! |
Ω |
0.15125066119716 |
Real period |
R |
4.3931160579863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075s1 72075c1 |
Quadratic twists by: 5 -31 |