Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
930h |
Isogeny class |
Conductor |
930 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-7472736000 = -1 · 28 · 35 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,467,-1432] |
[a1,a2,a3,a4,a6] |
Generators |
[19:110:1] |
Generators of the group modulo torsion |
j |
11298232190519/7472736000 |
j-invariant |
L |
2.082106753819 |
L(r)(E,1)/r! |
Ω |
0.75218734996806 |
Real period |
R |
0.18453795710225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7440p1 29760d1 2790t1 4650x1 |
Quadratic twists by: -4 8 -3 5 |