Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2898t |
Isogeny class |
Conductor |
2898 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-44228395008 = -1 · 214 · 36 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,310,-9975] |
[a1,a2,a3,a4,a6] |
Generators |
[35:189:1] |
Generators of the group modulo torsion |
j |
4533086375/60669952 |
j-invariant |
L |
4.7570973555936 |
L(r)(E,1)/r! |
Ω |
0.55816149994346 |
Real period |
R |
0.60877123967007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23184bh1 92736cj1 322b1 72450ba1 |
Quadratic twists by: -4 8 -3 5 |