Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34102s |
Isogeny class |
Conductor |
34102 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-55973477706584 = -1 · 23 · 179 · 59 |
Discriminant |
Eigenvalues |
2- -1 2 -4 -4 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3173,-351999] |
[a1,a2,a3,a4,a6] |
Generators |
[4212:22427:64] |
Generators of the group modulo torsion |
j |
29791/472 |
j-invariant |
L |
6.108907747739 |
L(r)(E,1)/r! |
Ω |
0.30666281616173 |
Real period |
R |
3.3201002457136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34102r1 |
Quadratic twists by: 17 |