Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370bz |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
-2888026945776000000 = -1 · 210 · 32 · 56 · 710 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21978,81771148] |
[a1,a2,a3,a4,a6] |
Generators |
[284:9780:1] |
Generators of the group modulo torsion |
j |
-9978645018889/24547824000000 |
j-invariant |
L |
6.7956265738082 |
L(r)(E,1)/r! |
Ω |
0.20432776581794 |
Real period |
R |
2.7715382219241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910c1 |
Quadratic twists by: -7 |