Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800bt |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-1238716800000000 = -1 · 213 · 38 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 3 5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-207208,36412912] |
[a1,a2,a3,a4,a6] |
Generators |
[-422:6966:1] |
Generators of the group modulo torsion |
j |
-614929576585/774198 |
j-invariant |
L |
7.1250541958327 |
L(r)(E,1)/r! |
Ω |
0.48381659274955 |
Real period |
R |
3.6816917314568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850q1 70800ck1 |
Quadratic twists by: -4 5 |