Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840c |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-28788480 = -1 · 28 · 33 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,57,-198] |
[a1,a2,a3,a4,a6] |
Generators |
[19:88:1] |
Generators of the group modulo torsion |
j |
2963088/4165 |
j-invariant |
L |
5.4980956996258 |
L(r)(E,1)/r! |
Ω |
1.11527972034 |
Real period |
R |
2.4648953976937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680b1 42840bh1 |
Quadratic twists by: -4 -3 |