Atkin-Lehner |
2- 3+ 11+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59202s |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
5195965189878448128 = 228 · 39 · 11 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-700625,-197114687] |
[a1,a2,a3,a4,a6] |
Generators |
[1111:19316:1] |
Generators of the group modulo torsion |
j |
1932363067269328875/263982380220416 |
j-invariant |
L |
8.225618369428 |
L(r)(E,1)/r! |
Ω |
0.16651112608187 |
Real period |
R |
0.8821395048228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59202b1 |
Quadratic twists by: -3 |