Atkin-Lehner |
2+ 3+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224d |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1102080 |
Modular degree for the optimal curve |
Δ |
-3999454910176948992 = -1 · 28 · 37 · 710 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,208207,88929741] |
[a1,a2,a3,a4,a6] |
Generators |
[941890:33462737:1000] |
Generators of the group modulo torsion |
j |
3899129331122048000/15622870742878707 |
j-invariant |
L |
5.6523267353152 |
L(r)(E,1)/r! |
Ω |
0.17644694206303 |
Real period |
R |
5.3390239865083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112i1 |
Quadratic twists by: -4 |