Atkin-Lehner |
2+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42194n |
Isogeny class |
Conductor |
42194 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
-4073842345544 = -1 · 23 · 178 · 73 |
Discriminant |
Eigenvalues |
2+ -3 3 -3 -2 -2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3992,-3608] |
[a1,a2,a3,a4,a6] |
Generators |
[217:3215:1] |
Generators of the group modulo torsion |
j |
1008423/584 |
j-invariant |
L |
2.4342630797337 |
L(r)(E,1)/r! |
Ω |
0.46483646076216 |
Real period |
R |
1.7456053796784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42194i1 |
Quadratic twists by: 17 |