Atkin-Lehner |
2+ 3+ 5- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230i |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
-17988933648384000 = -1 · 232 · 33 · 53 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,65413,-392739] |
[a1,a2,a3,a4,a6] |
j |
30953199041769299399/17988933648384000 |
j-invariant |
L |
1.3788506001095 |
L(r)(E,1)/r! |
Ω |
0.22980843335991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111690bj1 |
Quadratic twists by: -3 |