Atkin-Lehner |
2- 3- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107310dp |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
3075072 |
Modular degree for the optimal curve |
Δ |
-1297341838125957120 = -1 · 222 · 3 · 5 · 710 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 1 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,216040,38867520] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:5352:1] |
Generators of the group modulo torsion |
j |
3947714094191/4592762880 |
j-invariant |
L |
14.600569184418 |
L(r)(E,1)/r! |
Ω |
0.18129345829187 |
Real period |
R |
3.6607070230373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107310cc1 |
Quadratic twists by: -7 |