Atkin-Lehner |
2- 5- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
90640p |
Isogeny class |
Conductor |
90640 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-99704000000000 = -1 · 212 · 59 · 112 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- -4 11+ -4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31800,2245552] |
[a1,a2,a3,a4,a6] |
Generators |
[-206:110:1] [84:-400:1] |
Generators of the group modulo torsion |
j |
-868277967766201/24341796875 |
j-invariant |
L |
8.3731125064262 |
L(r)(E,1)/r! |
Ω |
0.59660839152923 |
Real period |
R |
0.19492389128464 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5665a1 |
Quadratic twists by: -4 |