Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960i |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
493620480 = 28 · 36 · 5 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -3 4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3465,-77355] |
[a1,a2,a3,a4,a6] |
Generators |
[-33390:459:1000] |
Generators of the group modulo torsion |
j |
33983110144/3645 |
j-invariant |
L |
6.1663226213678 |
L(r)(E,1)/r! |
Ω |
0.622251705708 |
Real period |
R |
4.9548458401864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000113869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63480u1 126960c1 |
Quadratic twists by: -4 -23 |