Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050da |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-34589362500000 = -1 · 25 · 33 · 58 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7626,381148] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-429:1] |
Generators of the group modulo torsion |
j |
-214358881/151200 |
j-invariant |
L |
6.7994394216276 |
L(r)(E,1)/r! |
Ω |
0.60216444697954 |
Real period |
R |
0.62731474615011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999295103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410cg1 127050ih1 |
Quadratic twists by: 5 -11 |