Atkin-Lehner |
2- 3- 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
70380bk |
Isogeny class |
Conductor |
70380 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-3202789416480000 = -1 · 28 · 311 · 54 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -3 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-176727,-28725154] |
[a1,a2,a3,a4,a6] |
Generators |
[682:12960:1] |
Generators of the group modulo torsion |
j |
-3270882431734864/17161723125 |
j-invariant |
L |
5.8673908276688 |
L(r)(E,1)/r! |
Ω |
0.11638782830265 |
Real period |
R |
3.1507755758372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23460b1 |
Quadratic twists by: -3 |