Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
23310bi |
Isogeny class |
Conductor |
23310 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
deg |
2293760 |
Modular degree for the optimal curve |
Δ |
-7.7591472540903E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34391228,-77735222913] |
[a1,a2,a3,a4,a6] |
Generators |
[15173:1693413:1] |
Generators of the group modulo torsion |
j |
-6170768047181777430174841/10643549045391360000 |
j-invariant |
L |
7.1777722515361 |
L(r)(E,1)/r! |
Ω |
0.031168273276035 |
Real period |
R |
1.7991482947579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770g1 116550bz1 |
Quadratic twists by: -3 5 |