Atkin-Lehner |
3+ 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
95475d |
Isogeny class |
Conductor |
95475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-1224466875 = -1 · 34 · 54 · 192 · 67 |
Discriminant |
Eigenvalues |
-2 3+ 5- -2 -6 -4 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-608,6218] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-48:1] [-134:851:8] |
Generators of the group modulo torsion |
j |
-39835340800/1959147 |
j-invariant |
L |
3.9146527630427 |
L(r)(E,1)/r! |
Ω |
1.5188112068655 |
Real period |
R |
0.21478710590214 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95475m1 |
Quadratic twists by: 5 |