Atkin-Lehner |
2+ 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
85440h |
Isogeny class |
Conductor |
85440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
79353293989478400 = 226 · 312 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63062625,192776256225] |
[a1,a2,a3,a4,a6] |
j |
105803474625631920221209/302708793600 |
j-invariant |
L |
0.90654407728721 |
L(r)(E,1)/r! |
Ω |
0.2266360154216 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85440bq1 2670b1 |
Quadratic twists by: -4 8 |