Atkin-Lehner |
2- 3- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674n |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3790792282992624 = 24 · 315 · 74 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-196514861,-1060281264859] |
[a1,a2,a3,a4,a6] |
Generators |
[3378708:-747218849:64] |
Generators of the group modulo torsion |
j |
1151283756590458788537587593/5199989414256 |
j-invariant |
L |
6.9321786378275 |
L(r)(E,1)/r! |
Ω |
0.040322802181372 |
Real period |
R |
10.744817855553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558i2 |
Quadratic twists by: -3 |