Atkin-Lehner |
2- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30100f |
Isogeny class |
Conductor |
30100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-210700000000 = -1 · 28 · 58 · 72 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 5 5 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,-22137] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-350:1] |
Generators of the group modulo torsion |
j |
-65536/52675 |
j-invariant |
L |
4.223655804761 |
L(r)(E,1)/r! |
Ω |
0.45054756671704 |
Real period |
R |
0.78120789693327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120400bp1 6020c1 |
Quadratic twists by: -4 5 |