Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210cr |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7032960 |
Modular degree for the optimal curve |
Δ |
9.4647366202301E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -4 -5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3162647,-1578951359] |
[a1,a2,a3,a4,a6] |
Generators |
[1258124381202430578710:64444191603618014115961:343897481636981000] |
Generators of the group modulo torsion |
j |
36963/10 |
j-invariant |
L |
7.7875352759442 |
L(r)(E,1)/r! |
Ω |
0.1155046895159 |
Real period |
R |
33.710905196071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210e1 123210f1 |
Quadratic twists by: -3 37 |