Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3150h |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-7235156250 = -1 · 2 · 33 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,258,-3834] |
[a1,a2,a3,a4,a6] |
Generators |
[33:183:1] |
Generators of the group modulo torsion |
j |
179685/686 |
j-invariant |
L |
2.6129315575053 |
L(r)(E,1)/r! |
Ω |
0.67231428673889 |
Real period |
R |
1.9432366744574 |
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 |
25200db1 100800cf1 3150bc2 3150v1 |
Quadratic twists by: -4 8 -3 5 |