Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
107310dd |
Isogeny class |
Conductor |
107310 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
-9275447160 = -1 · 23 · 33 · 5 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4656,-122760] |
[a1,a2,a3,a4,a6] |
Generators |
[90:390:1] |
Generators of the group modulo torsion |
j |
-94881210481/78840 |
j-invariant |
L |
9.5420428263171 |
L(r)(E,1)/r! |
Ω |
0.2889642987844 |
Real period |
R |
3.6690587147995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2190l1 |
Quadratic twists by: -7 |