Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120j |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
212992 |
Modular degree for the optimal curve |
Δ |
9111916800 = 28 · 38 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146487,-21579766] |
[a1,a2,a3,a4,a6] |
Generators |
[40612:759915:64] |
Generators of the group modulo torsion |
j |
1862745286828624/48825 |
j-invariant |
L |
7.4391082082477 |
L(r)(E,1)/r! |
Ω |
0.24403368846005 |
Real period |
R |
7.6209848883154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040i1 |
Quadratic twists by: -3 |