Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980f |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-47964966394800 = -1 · 24 · 3 · 52 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-901,-333074] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2535:1] |
Generators of the group modulo torsion |
j |
-1048576/621075 |
j-invariant |
L |
5.6268103044783 |
L(r)(E,1)/r! |
Ω |
0.28607423997491 |
Real period |
R |
1.6390880168935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5460b1 |
Quadratic twists by: 13 |