Atkin-Lehner |
2- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68962l |
Isogeny class |
Conductor |
68962 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
701568 |
Modular degree for the optimal curve |
Δ |
-97546049541743156 = -1 · 22 · 299 · 412 |
Discriminant |
Eigenvalues |
2- -1 1 4 -3 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,107210,6620583] |
[a1,a2,a3,a4,a6] |
Generators |
[702863:31890655:343] |
Generators of the group modulo torsion |
j |
9393931/6724 |
j-invariant |
L |
10.621726034477 |
L(r)(E,1)/r! |
Ω |
0.2140909992291 |
Real period |
R |
6.2016421006985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68962e1 |
Quadratic twists by: 29 |