Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540t |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
732611664363600 = 24 · 33 · 52 · 79 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3780905,-2828448678] |
[a1,a2,a3,a4,a6] |
Generators |
[808036:89642315:64] |
Generators of the group modulo torsion |
j |
3175432607945703424/389193525 |
j-invariant |
L |
6.2041519755737 |
L(r)(E,1)/r! |
Ω |
0.10826812282913 |
Real period |
R |
9.5505981280111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999981114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220k1 |
Quadratic twists by: -7 |