Atkin-Lehner |
3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102921l |
Isogeny class |
Conductor |
102921 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-31297140572607 = -1 · 33 · 72 · 138 · 29 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2370,272599] |
[a1,a2,a3,a4,a6] |
Generators |
[23:468:1] |
Generators of the group modulo torsion |
j |
-304821217/6484023 |
j-invariant |
L |
12.909495854901 |
L(r)(E,1)/r! |
Ω |
0.55375606740411 |
Real period |
R |
3.8854339810844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7917c1 |
Quadratic twists by: 13 |