Atkin-Lehner |
2- 3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382u |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
143700480 |
Modular degree for the optimal curve |
Δ |
-2.5385299040361E+28 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18441820958,963971259390299] |
[a1,a2,a3,a4,a6] |
Generators |
[1025067:481377757:27] |
Generators of the group modulo torsion |
j |
-5895856113332931416918127084625/215771481613620039647232 |
j-invariant |
L |
8.1321281378813 |
L(r)(E,1)/r! |
Ω |
0.035306594471716 |
Real period |
R |
1.9194072805123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000478 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626p1 |
Quadratic twists by: -7 |