Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cr |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9954677250000 = 24 · 39 · 56 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-984528,376002027] |
[a1,a2,a3,a4,a6] |
Generators |
[-4542:219375:8] |
Generators of the group modulo torsion |
j |
335117149277257728/31609375 |
j-invariant |
L |
4.9442364393989 |
L(r)(E,1)/r! |
Ω |
0.55683847244056 |
Real period |
R |
4.4395607442612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999860765 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420d3 85680db1 |
Quadratic twists by: -4 -3 |