Atkin-Lehner |
2- 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540c |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
4158000 |
Modular degree for the optimal curve |
Δ |
-3.2459354048317E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3376606,2541759781] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:57359:1] |
Generators of the group modulo torsion |
j |
-46159458083087104/3519132105375 |
j-invariant |
L |
3.9060163107622 |
L(r)(E,1)/r! |
Ω |
0.16829041395737 |
Real period |
R |
4.6419949914074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120540bl1 |
Quadratic twists by: -7 |