Atkin-Lehner |
2+ 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080n |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
69791517081600 = 215 · 3 · 52 · 734 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10305,-20703] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1379:1] |
Generators of the group modulo torsion |
j |
3693685451912/2129868075 |
j-invariant |
L |
5.4521937419043 |
L(r)(E,1)/r! |
Ω |
0.51649233680046 |
Real period |
R |
5.2780974214979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994945 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70080ba4 35040f3 |
Quadratic twists by: -4 8 |