Atkin-Lehner |
2- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34100c |
Isogeny class |
Conductor |
34100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-13729597750000 = -1 · 24 · 56 · 116 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 11- -2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19925,1097125] |
[a1,a2,a3,a4,a6] |
Generators |
[81:-121:1] |
Generators of the group modulo torsion |
j |
-3499279992576/54918391 |
j-invariant |
L |
5.8458870051774 |
L(r)(E,1)/r! |
Ω |
0.70755643444013 |
Real period |
R |
0.45900437686589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1364b1 |
Quadratic twists by: 5 |