Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450cg |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
143769600 |
Modular degree for the optimal curve |
Δ |
2.2114152485686E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6940866492,210759534254416] |
[a1,a2,a3,a4,a6] |
Generators |
[38675:391454:1] |
Generators of the group modulo torsion |
j |
25972109021989398244375853/1553147609419912052736 |
j-invariant |
L |
5.2196874595138 |
L(r)(E,1)/r! |
Ω |
0.025573017007387 |
Real period |
R |
2.5513647150423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150bx1 72450eu1 |
Quadratic twists by: -3 5 |