Atkin-Lehner |
2+ 3- 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822p |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4408087812738624 = 26 · 310 · 74 · 172 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7377048,7713932800] |
[a1,a2,a3,a4,a6] |
Generators |
[1589:-2212:1] |
Generators of the group modulo torsion |
j |
60903751497088968542593/6046759688256 |
j-invariant |
L |
3.729269980549 |
L(r)(E,1)/r! |
Ω |
0.33581512898077 |
Real period |
R |
1.3881409935109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016931 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29274bf2 |
Quadratic twists by: -3 |