Atkin-Lehner |
2- 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3910o |
Isogeny class |
Conductor |
3910 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-1564000 = -1 · 25 · 53 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -2 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-35,97] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-7:1] |
Generators of the group modulo torsion |
j |
-4750104241/1564000 |
j-invariant |
L |
3.817981494415 |
L(r)(E,1)/r! |
Ω |
2.5265345430816 |
Real period |
R |
0.10074356605361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31280bc1 125120i1 35190o1 19550n1 |
Quadratic twists by: -4 8 -3 5 |