Atkin-Lehner |
2+ 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
95424m |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-3665808384 = -1 · 210 · 3 · 75 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -3 -5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-421,-4283] |
[a1,a2,a3,a4,a6] |
Generators |
[29:84:1] [36:161:1] |
Generators of the group modulo torsion |
j |
-8077950976/3579891 |
j-invariant |
L |
9.0108431578451 |
L(r)(E,1)/r! |
Ω |
0.51580227920302 |
Real period |
R |
1.7469568323095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424ce1 5964d1 |
Quadratic twists by: -4 8 |