Atkin-Lehner |
3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103635bq |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-44441859749175 = -1 · 38 · 52 · 78 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -6 4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7708,-189066] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-894:1] |
Generators of the group modulo torsion |
j |
590589719/518175 |
j-invariant |
L |
3.2939018138932 |
L(r)(E,1)/r! |
Ω |
0.35217669201691 |
Real period |
R |
1.1691225843052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34545c1 14805d1 |
Quadratic twists by: -3 -7 |