Atkin-Lehner |
2+ 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960g |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
353740800 = 211 · 3 · 52 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7369600,-7697956448] |
[a1,a2,a3,a4,a6] |
Generators |
[3194:36570:1] |
Generators of the group modulo torsion |
j |
21613523250701301292802/172725 |
j-invariant |
L |
5.1095534572613 |
L(r)(E,1)/r! |
Ω |
0.091630186539398 |
Real period |
R |
6.9703468500824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000002525 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480bd4 |
Quadratic twists by: -4 |