Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38808n |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-191760340464 = -1 · 24 · 33 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11- -1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1029,16807] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1029:1] |
Generators of the group modulo torsion |
j |
6912/11 |
j-invariant |
L |
7.2411603249865 |
L(r)(E,1)/r! |
Ω |
0.68697716282909 |
Real period |
R |
1.3175766089455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616o1 38808bq1 38808o1 |
Quadratic twists by: -4 -3 -7 |