Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38115g |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-5350053623755995 = -1 · 33 · 5 · 75 · 119 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 11+ -2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-35937,-4388640] |
[a1,a2,a3,a4,a6] |
Generators |
[605:13975:1] |
Generators of the group modulo torsion |
j |
-80621568/84035 |
j-invariant |
L |
2.9510779139077 |
L(r)(E,1)/r! |
Ω |
0.16645601291004 |
Real period |
R |
0.88644377043398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38115c1 38115e1 |
Quadratic twists by: -3 -11 |