Atkin-Lehner |
2- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
7420c |
Isogeny class |
Conductor |
7420 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
59760 |
Modular degree for the optimal curve |
Δ |
-476821014393731840 = -1 · 28 · 5 · 75 · 536 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-201621,48078359] |
[a1,a2,a3,a4,a6] |
j |
-3540733125883592704/1862582087475515 |
j-invariant |
L |
2.747791550197 |
L(r)(E,1)/r! |
Ω |
0.2747791550197 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29680i1 118720k1 66780k1 37100a1 |
Quadratic twists by: -4 8 -3 5 |