Atkin-Lehner |
2- 7- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306ba |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
3442744804352 = 210 · 76 · 17 · 412 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 2 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29695,1965081] |
[a1,a2,a3,a4,a6] |
Generators |
[118:-387:1] |
Generators of the group modulo torsion |
j |
24614236831969/29262848 |
j-invariant |
L |
5.4439474646169 |
L(r)(E,1)/r! |
Ω |
0.7896708357484 |
Real period |
R |
0.68939451961479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1394f1 |
Quadratic twists by: -7 |