Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680f |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-50389311409920 = -1 · 28 · 39 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9153,55134] |
[a1,a2,a3,a4,a6] |
Generators |
[2690:51319:8] |
Generators of the group modulo torsion |
j |
16829950608/10000165 |
j-invariant |
L |
5.6799550699976 |
L(r)(E,1)/r! |
Ω |
0.38651946336809 |
Real period |
R |
7.3475666877154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840bi2 85680a2 |
Quadratic twists by: -4 -3 |