Atkin-Lehner |
2+ 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960g |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
30549939840000 = 210 · 32 · 54 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-460600,-120165248] |
[a1,a2,a3,a4,a6] |
Generators |
[1724:64860:1] |
Generators of the group modulo torsion |
j |
10553499630199461604/29833925625 |
j-invariant |
L |
5.1095534572613 |
L(r)(E,1)/r! |
Ω |
0.1832603730788 |
Real period |
R |
3.4851734250412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000631 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39480bd2 |
Quadratic twists by: -4 |