Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680bc |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3129303587880960000 = -1 · 225 · 310 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,151935,81950337] |
[a1,a2,a3,a4,a6] |
Generators |
[929:32000:1] |
Generators of the group modulo torsion |
j |
1479634409024351/11937345840000 |
j-invariant |
L |
6.6857802145764 |
L(r)(E,1)/r! |
Ω |
0.18442267121729 |
Real period |
R |
2.265780342241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680gj2 3990w2 |
Quadratic twists by: -4 8 |