Atkin-Lehner |
2- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
37520n |
Isogeny class |
Conductor |
37520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-210112000000 = -1 · 212 · 56 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 6 -4 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-805,-23475] |
[a1,a2,a3,a4,a6] |
Generators |
[60:375:1] |
Generators of the group modulo torsion |
j |
-14102327296/51296875 |
j-invariant |
L |
9.7350359279195 |
L(r)(E,1)/r! |
Ω |
0.41069165391493 |
Real period |
R |
1.9753335288407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2345a1 |
Quadratic twists by: -4 |