Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790cg |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
134184960 |
Modular degree for the optimal curve |
Δ |
-1.4321189075602E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2156507649,-69287641881795] |
[a1,a2,a3,a4,a6] |
Generators |
[8352306:24133910247:1] |
Generators of the group modulo torsion |
j |
-37702212117675062365927/48682087219200000000 |
j-invariant |
L |
4.9998809969658 |
L(r)(E,1)/r! |
Ω |
0.010567127211281 |
Real period |
R |
5.9144279429552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930dd1 83790ba1 |
Quadratic twists by: -3 -7 |