Atkin-Lehner |
2+ 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
70080o |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-2753418756096000 = -1 · 221 · 33 · 53 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7775,-2513375] |
[a1,a2,a3,a4,a6] |
Generators |
[120:365:1] |
Generators of the group modulo torsion |
j |
198257271191/10503459000 |
j-invariant |
L |
5.766801767624 |
L(r)(E,1)/r! |
Ω |
0.21711146777112 |
Real period |
R |
1.4756377417387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70080cp2 2190d2 |
Quadratic twists by: -4 8 |