Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800br |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
144184320 |
Modular degree for the optimal curve |
Δ |
-9.0670285339206E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -1 -7 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1042026592,-6501293158188] |
[a1,a2,a3,a4,a6] |
Generators |
[618204:146299850:27] |
Generators of the group modulo torsion |
j |
15641202222032012520134968/11333785667400691734375 |
j-invariant |
L |
2.9509624947269 |
L(r)(E,1)/r! |
Ω |
0.019057446833535 |
Real period |
R |
7.7422818475874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800cm1 17760k1 |
Quadratic twists by: -4 5 |