Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300v |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-50935500000000 = -1 · 28 · 33 · 59 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 0 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3000,-337500] |
[a1,a2,a3,a4,a6] |
Generators |
[300:5250:1] |
Generators of the group modulo torsion |
j |
221184/3773 |
j-invariant |
L |
7.3264653315673 |
L(r)(E,1)/r! |
Ω |
0.3086123707025 |
Real period |
R |
0.65944513311763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69300s1 69300p1 |
Quadratic twists by: -3 5 |