Atkin-Lehner |
2- 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
61320v |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-2.04233925E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 5 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-726976,-323035360] |
[a1,a2,a3,a4,a6] |
j |
-20746965167779810178/9972359619140625 |
j-invariant |
L |
3.9158534522208 |
L(r)(E,1)/r! |
Ω |
0.079915376536294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122640a1 |
Quadratic twists by: -4 |