Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70980m |
Isogeny class |
Conductor |
70980 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1557504 |
Modular degree for the optimal curve |
Δ |
-1.165282272266E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 5 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-932260,-383106920] |
[a1,a2,a3,a4,a6] |
Generators |
[2186899862689355937:120224017408166236448:655351767095381] |
Generators of the group modulo torsion |
j |
-429090150736/55801305 |
j-invariant |
L |
6.3137234399253 |
L(r)(E,1)/r! |
Ω |
0.076268529696604 |
Real period |
R |
27.594271036128 |
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 |
70980h1 |
Quadratic twists by: 13 |