Atkin-Lehner |
2- 3- 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
30906n |
Isogeny class |
Conductor |
30906 |
Conductor |
∏ cp |
304 |
Product of Tamagawa factors cp |
deg |
817152 |
Modular degree for the optimal curve |
Δ |
-7051204141820411904 = -1 · 219 · 313 · 174 · 101 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -6 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-93353,-128205975] |
[a1,a2,a3,a4,a6] |
Generators |
[635:-8580:1] [1607:61404:1] |
Generators of the group modulo torsion |
j |
-123417475726848841/9672433665048576 |
j-invariant |
L |
10.613821228106 |
L(r)(E,1)/r! |
Ω |
0.10413145502884 |
Real period |
R |
0.33528663946069 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10302a1 |
Quadratic twists by: -3 |