Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37240h |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
-33367040 = -1 · 210 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 0 0 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,77,-98] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-28:1] |
Generators of the group modulo torsion |
j |
143748/95 |
j-invariant |
L |
2.6571923429877 |
L(r)(E,1)/r! |
Ω |
1.1809543873924 |
Real period |
R |
0.5625095201294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480g1 37240j1 |
Quadratic twists by: -4 -7 |