Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400bm |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3193344 |
Modular degree for the optimal curve |
Δ |
-2.3443796002868E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -3 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9685912,-20197215312] |
[a1,a2,a3,a4,a6] |
Generators |
[143467:54353838:1] |
Generators of the group modulo torsion |
j |
16683494528422270/38919722282469 |
j-invariant |
L |
6.6713101080392 |
L(r)(E,1)/r! |
Ω |
0.051307021003941 |
Real period |
R |
3.6118676555695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800x1 88200gm1 29400di1 4200c1 |
Quadratic twists by: -4 -3 5 -7 |