Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920l |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
241828079133312000 = 210 · 39 · 53 · 73 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-347787,-75314934] |
[a1,a2,a3,a4,a6] |
Generators |
[-333:1890:1] |
Generators of the group modulo torsion |
j |
230819500134828/11998182875 |
j-invariant |
L |
8.0877887870397 |
L(r)(E,1)/r! |
Ω |
0.19722984256084 |
Real period |
R |
1.1390811695415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960d1 115920f1 |
Quadratic twists by: -4 -3 |