Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075be |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
872783203125 = 3 · 510 · 313 |
Discriminant |
Eigenvalues |
-2 3- 5+ 0 3 -2 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6458,192494] |
[a1,a2,a3,a4,a6] |
Generators |
[72:325:1] |
Generators of the group modulo torsion |
j |
102400/3 |
j-invariant |
L |
4.403630175503 |
L(r)(E,1)/r! |
Ω |
0.88442454009316 |
Real period |
R |
2.4895454479595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075v1 72075l1 |
Quadratic twists by: 5 -31 |