Atkin-Lehner |
2- 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850ca |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-1189781250 = -1 · 2 · 3 · 56 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 6 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15813,758781] |
[a1,a2,a3,a4,a6] |
Generators |
[1038:7119:8] |
Generators of the group modulo torsion |
j |
-27986475935881/76146 |
j-invariant |
L |
7.814375111951 |
L(r)(E,1)/r! |
Ω |
1.3363624791226 |
Real period |
R |
5.8474966440856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550bq1 1554d1 |
Quadratic twists by: -3 5 |