Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37240f |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-2146811892400 = -1 · 24 · 52 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3691,112680] |
[a1,a2,a3,a4,a6] |
Generators |
[243:3675:1] |
Generators of the group modulo torsion |
j |
-2955053056/1140475 |
j-invariant |
L |
7.6096507501485 |
L(r)(E,1)/r! |
Ω |
0.77426347935582 |
Real period |
R |
2.4570611145445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74480f1 5320c1 |
Quadratic twists by: -4 -7 |