Atkin-Lehner |
2+ 3- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230k |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-3085496115840 = -1 · 27 · 36 · 5 · 17 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3526,-25108] |
[a1,a2,a3,a4,a6] |
Generators |
[174:1901:8] |
Generators of the group modulo torsion |
j |
4850066347489511/3085496115840 |
j-invariant |
L |
4.3265497020323 |
L(r)(E,1)/r! |
Ω |
0.45870052683292 |
Real period |
R |
4.7160941060006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
111690cd1 |
Quadratic twists by: -3 |