Atkin-Lehner |
2+ 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090ba |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
5987520 |
Modular degree for the optimal curve |
Δ |
-2.687338458E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 5 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20519903,35784570098] |
[a1,a2,a3,a4,a6] |
Generators |
[2199:34900:1] |
Generators of the group modulo torsion |
j |
-8121969458732291369689/2284200000000000 |
j-invariant |
L |
6.4840627994614 |
L(r)(E,1)/r! |
Ω |
0.17029152028152 |
Real period |
R |
0.34614774327853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1410a1 |
Quadratic twists by: -7 |