Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46620i |
Isogeny class |
Conductor |
46620 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2046720 |
Modular degree for the optimal curve |
Δ |
-4.0956274603125E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5380647,-5706023314] |
[a1,a2,a3,a4,a6] |
Generators |
[7882:664500:1] |
Generators of the group modulo torsion |
j |
-2492432957392321600368/592538695068359375 |
j-invariant |
L |
6.1989011879812 |
L(r)(E,1)/r! |
Ω |
0.048947589858318 |
Real period |
R |
4.8709094186435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46620b1 |
Quadratic twists by: -3 |