Atkin-Lehner |
2- 3+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70350bw |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-24130050 = -1 · 2 · 3 · 52 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 1 5 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-98,401] |
[a1,a2,a3,a4,a6] |
j |
-4166188105/965202 |
j-invariant |
L |
4.0656849038893 |
L(r)(E,1)/r! |
Ω |
2.0328424443138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350bp1 |
Quadratic twists by: 5 |