Atkin-Lehner |
2+ 11- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34408d |
Isogeny class |
Conductor |
34408 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-885565027072 = -1 · 28 · 113 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ 0 0 1 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2060,-57836] |
[a1,a2,a3,a4,a6] |
Generators |
[78:506:1] |
Generators of the group modulo torsion |
j |
-3776464512000/3459238387 |
j-invariant |
L |
5.2625699366106 |
L(r)(E,1)/r! |
Ω |
0.34140278271979 |
Real period |
R |
0.64227287666471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68816a1 |
Quadratic twists by: -4 |