Atkin-Lehner |
3+ 7- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
70707h |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-22292680646691 = -1 · 32 · 77 · 133 · 372 |
Discriminant |
Eigenvalues |
0 3+ 1 7- 2 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16725,-857410] |
[a1,a2,a3,a4,a6] |
Generators |
[530:11784:1] |
Generators of the group modulo torsion |
j |
-4398046511104/189484659 |
j-invariant |
L |
4.5944738719922 |
L(r)(E,1)/r! |
Ω |
0.20937875816573 |
Real period |
R |
0.4571533736641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10101d1 |
Quadratic twists by: -7 |