Atkin-Lehner |
2- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30100l |
Isogeny class |
Conductor |
30100 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-31618168750000 = -1 · 24 · 58 · 76 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -3 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4333,-293412] |
[a1,a2,a3,a4,a6] |
Generators |
[329:5831:1] |
Generators of the group modulo torsion |
j |
-1439825920/5058907 |
j-invariant |
L |
4.1329631893929 |
L(r)(E,1)/r! |
Ω |
0.2700758752224 |
Real period |
R |
2.550495106847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
120400bz1 30100b1 |
Quadratic twists by: -4 5 |