Atkin-Lehner |
3- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10101f |
Isogeny class |
Conductor |
10101 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
58230254901 = 3 · 79 · 13 · 37 |
Discriminant |
Eigenvalues |
0 3- 3 7- -3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-248619,-47797381] |
[a1,a2,a3,a4,a6] |
Generators |
[-288190:529:1000] |
Generators of the group modulo torsion |
j |
1699528316142259044352/58230254901 |
j-invariant |
L |
5.458164927323 |
L(r)(E,1)/r! |
Ω |
0.21380400252758 |
Real period |
R |
2.8365360916212 |
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 |
30303k3 70707c3 |
Quadratic twists by: -3 -7 |