Atkin-Lehner |
2+ 3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610t |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1238400 |
Modular degree for the optimal curve |
Δ |
-34163085937500000 = -1 · 25 · 32 · 515 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 0 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,49163,7861261] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:994:1] |
Generators of the group modulo torsion |
j |
77756791817934671/202148437500000 |
j-invariant |
L |
3.5311069179546 |
L(r)(E,1)/r! |
Ω |
0.25757189771475 |
Real period |
R |
0.45697362960053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999107942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610bu1 |
Quadratic twists by: 13 |