Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30016q |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
1153094656 = 210 · 75 · 67 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 0 -3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-301,1277] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:56:1] [-4:49:1] |
Generators of the group modulo torsion |
j |
2955053056/1126069 |
j-invariant |
L |
6.7234369201154 |
L(r)(E,1)/r! |
Ω |
1.4074645377054 |
Real period |
R |
0.4776984954148 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30016bl1 3752f1 |
Quadratic twists by: -4 8 |