Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950bc |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-449795656800 = -1 · 25 · 34 · 52 · 76 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-456,-32522] |
[a1,a2,a3,a4,a6] |
Generators |
[38:54:1] |
Generators of the group modulo torsion |
j |
-418127215585/17991826272 |
j-invariant |
L |
6.8464412315298 |
L(r)(E,1)/r! |
Ω |
0.41057679475989 |
Real period |
R |
0.69479909310247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61950bt1 |
Quadratic twists by: 5 |