Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
23310p |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-81615678843540240 = -1 · 24 · 314 · 5 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,105615,3767661] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:771:1] [147:4665:1] |
Generators of the group modulo torsion |
j |
178718981548166639/111955663708560 |
j-invariant |
L |
5.6144587446835 |
L(r)(E,1)/r! |
Ω |
0.21213914304321 |
Real period |
R |
1.6541203405882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770be4 116550eb3 |
Quadratic twists by: -3 5 |