Atkin-Lehner |
3- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
70707p |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
509302521 = 32 · 76 · 13 · 37 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -2 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-442,-3445] |
[a1,a2,a3,a4,a6] |
Generators |
[813:2396:27] |
Generators of the group modulo torsion |
j |
81182737/4329 |
j-invariant |
L |
6.2051733058789 |
L(r)(E,1)/r! |
Ω |
1.0446668354161 |
Real period |
R |
5.9398586176248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1443c1 |
Quadratic twists by: -7 |