Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12495c |
Isogeny class |
Conductor |
12495 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-8.7387331771652E+22 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 0 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5680937,13235803792] |
[a1,a2,a3,a4,a6] |
Generators |
[59632:14544352:1] |
Generators of the group modulo torsion |
j |
172343644217341694999/742780064187984375 |
j-invariant |
L |
3.8148101980861 |
L(r)(E,1)/r! |
Ω |
0.07695049238462 |
Real period |
R |
2.4787432021998 |
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 |
37485bm1 62475bu1 1785n1 |
Quadratic twists by: -3 5 -7 |