Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280eo |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-55553299200 = -1 · 28 · 311 · 52 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -7 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4368,111692] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-162:1] [-34:470:1] |
Generators of the group modulo torsion |
j |
-1007878144/6075 |
j-invariant |
L |
7.9434997344431 |
L(r)(E,1)/r! |
Ω |
1.1233850552332 |
Real period |
R |
0.44193994845315 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8820o1 11760by1 35280fb1 |
Quadratic twists by: -4 -3 -7 |