Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560be |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
458752 |
Modular degree for the optimal curve |
Δ |
3530133540360000 = 26 · 37 · 54 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38073,-67228] |
[a1,a2,a3,a4,a6] |
Generators |
[421:7650:1] |
Generators of the group modulo torsion |
j |
3241792/1875 |
j-invariant |
L |
4.7497621536772 |
L(r)(E,1)/r! |
Ω |
0.37427033775451 |
Real period |
R |
3.1726813983397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989496 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560dq1 23520bn1 70560by1 |
Quadratic twists by: -4 -3 -7 |