Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485c |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-238966875 = -1 · 33 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -6 -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-63,768] |
[a1,a2,a3,a4,a6] |
Generators |
[2:25:1] [11:37:1] |
Generators of the group modulo torsion |
j |
-20901888/180625 |
j-invariant |
L |
4.3011615701194 |
L(r)(E,1)/r! |
Ω |
1.5055620521203 |
Real period |
R |
0.35710596950001 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37485p1 37485i1 |
Quadratic twists by: -3 -7 |