Atkin-Lehner |
2+ 5+ 23+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
102350b |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
116640 |
Modular degree for the optimal curve |
Δ |
135357875000 = 23 · 56 · 233 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1300,3000] |
[a1,a2,a3,a4,a6] |
Generators |
[-663:4232:27] |
Generators of the group modulo torsion |
j |
15568817473/8662904 |
j-invariant |
L |
5.4558775413719 |
L(r)(E,1)/r! |
Ω |
0.89855841473938 |
Real period |
R |
6.0718117603083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4094g1 |
Quadratic twists by: 5 |