Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275c |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4216320 |
Modular degree for the optimal curve |
Δ |
3.4003114700317E+20 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11+ -5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2962050,-1750143719] |
[a1,a2,a3,a4,a6] |
Generators |
[-380765:4472341:343] |
Generators of the group modulo torsion |
j |
2837428440956928/335693359375 |
j-invariant |
L |
4.1239387983205 |
L(r)(E,1)/r! |
Ω |
0.11596989267585 |
Real period |
R |
8.8901066033045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999991191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275i2 24255m1 121275q1 |
Quadratic twists by: -3 5 -7 |