Atkin-Lehner |
3- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
70707n |
Isogeny class |
Conductor |
70707 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-10024601520843 = -1 · 311 · 76 · 13 · 37 |
Discriminant |
Eigenvalues |
0 3- -4 7- -3 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5325,30755] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-662:1] |
Generators of the group modulo torsion |
j |
141909917696/85207707 |
j-invariant |
L |
3.2151907386791 |
L(r)(E,1)/r! |
Ω |
0.44393450599062 |
Real period |
R |
0.32920404163572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1443b1 |
Quadratic twists by: -7 |