Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31280a |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4864 |
Modular degree for the optimal curve |
Δ |
-62560000 = -1 · 28 · 54 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,97,-98] |
[a1,a2,a3,a4,a6] |
Generators |
[219:944:27] |
Generators of the group modulo torsion |
j |
394274736/244375 |
j-invariant |
L |
4.7805148690963 |
L(r)(E,1)/r! |
Ω |
1.1354263534308 |
Real period |
R |
4.2103257993365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15640f1 125120ck1 |
Quadratic twists by: -4 8 |