Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30150cy |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-89016367500 = -1 · 22 · 312 · 54 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 6 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1130,-20203] |
[a1,a2,a3,a4,a6] |
Generators |
[534:3293:8] |
Generators of the group modulo torsion |
j |
-349938025/195372 |
j-invariant |
L |
7.6387858536427 |
L(r)(E,1)/r! |
Ω |
0.40134741962622 |
Real period |
R |
4.7582128849593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050s1 30150x1 |
Quadratic twists by: -3 5 |