Atkin-Lehner |
2+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
129800c |
Isogeny class |
Conductor |
129800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-26130524750000 = -1 · 24 · 56 · 116 · 59 |
Discriminant |
Eigenvalues |
2+ -3 5+ -3 11+ 0 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-185650,30789625] |
[a1,a2,a3,a4,a6] |
Generators |
[296:1331:1] |
Generators of the group modulo torsion |
j |
-2830535226611712/104522099 |
j-invariant |
L |
2.3338747056196 |
L(r)(E,1)/r! |
Ω |
0.62647776883499 |
Real period |
R |
0.93134778607572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998864511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5192a1 |
Quadratic twists by: 5 |