Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3150ba |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
18720 |
Modular degree for the optimal curve |
Δ |
-440899200000000 = -1 · 213 · 39 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -3 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9070,951697] |
[a1,a2,a3,a4,a6] |
Generators |
[169:-2785:1] |
Generators of the group modulo torsion |
j |
10733445/57344 |
j-invariant |
L |
4.828816840684 |
L(r)(E,1)/r! |
Ω |
0.38108038950124 |
Real period |
R |
0.16245367098245 |
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 |
25200dn1 100800ca1 3150f1 3150c1 |
Quadratic twists by: -4 8 -3 5 |