Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280ft |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-26219328307200 = -1 · 222 · 36 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10227,468146] |
[a1,a2,a3,a4,a6] |
Generators |
[7:630:1] |
Generators of the group modulo torsion |
j |
-115501303/25600 |
j-invariant |
L |
5.6745869881449 |
L(r)(E,1)/r! |
Ω |
0.639227365372 |
Real period |
R |
1.1096573956989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4410s1 3920w1 35280en1 |
Quadratic twists by: -4 -3 -7 |