Atkin-Lehner |
2+ 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31080p |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
-6.1267970264614E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 5 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4612840,3993394400] |
[a1,a2,a3,a4,a6] |
j |
-10600565227968460379044/598320022115374125 |
j-invariant |
L |
4.8157685095913 |
L(r)(E,1)/r! |
Ω |
0.16052561698641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62160k1 93240br1 |
Quadratic twists by: -4 -3 |