Atkin-Lehner |
2+ 7+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10906c |
Isogeny class |
Conductor |
10906 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8668800 |
Modular degree for the optimal curve |
Δ |
2.1314492659614E+25 |
Discriminant |
Eigenvalues |
2+ -1 1 7+ 0 2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12648809362,547543172897588] |
[a1,a2,a3,a4,a6] |
j |
223806478318999562522553252453628201/21314492659614217796583424 |
j-invariant |
L |
0.62737013147341 |
L(r)(E,1)/r! |
Ω |
0.052280844289451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87248s1 98154bx1 76342d1 |
Quadratic twists by: -4 -3 -7 |