Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430eu |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
255744 |
Modular degree for the optimal curve |
Δ |
2933667497250 = 2 · 39 · 53 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14972,-696531] |
[a1,a2,a3,a4,a6] |
Generators |
[-554:813:8] |
Generators of the group modulo torsion |
j |
10389923853001/82127250 |
j-invariant |
L |
11.370296394074 |
L(r)(E,1)/r! |
Ω |
0.43180620398436 |
Real period |
R |
2.1943285910467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33810h1 101430dk1 |
Quadratic twists by: -3 -7 |