Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646cz |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
139829760 |
Modular degree for the optimal curve |
Δ |
-6.0624343512946E+29 |
Discriminant |
Eigenvalues |
2- 3- -2 1 6 -3 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1879803769,-20476154283393] |
[a1,a2,a3,a4,a6] |
Generators |
[10979:1213326:1] |
Generators of the group modulo torsion |
j |
144458253878541513047/119214244104241152 |
j-invariant |
L |
10.528887836266 |
L(r)(E,1)/r! |
Ω |
0.016024777722366 |
Real period |
R |
0.97773511441768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999819316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882p1 119646bz1 |
Quadratic twists by: -3 17 |