Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
120900m |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1762560 |
Modular degree for the optimal curve |
Δ |
-2554012500000000 = -1 · 28 · 3 · 511 · 133 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 5 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3147508,2150357512] |
[a1,a2,a3,a4,a6] |
Generators |
[1002:1250:1] |
Generators of the group modulo torsion |
j |
-862113382496049616/638503125 |
j-invariant |
L |
6.2520790393229 |
L(r)(E,1)/r! |
Ω |
0.37925692010017 |
Real period |
R |
0.45791877415279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998999351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24180g1 |
Quadratic twists by: 5 |