Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dc |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
118444070168441325 = 36 · 52 · 79 · 115 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11+ -5 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-154350,16449851] |
[a1,a2,a3,a4,a6] |
Generators |
[98:30523:8] |
Generators of the group modulo torsion |
j |
552960000/161051 |
j-invariant |
L |
5.5134842630922 |
L(r)(E,1)/r! |
Ω |
0.30832259078116 |
Real period |
R |
4.470548438501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999202084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13475g1 121275fk1 121275da1 |
Quadratic twists by: -3 5 -7 |