Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275ey |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
-50051888455078125 = -1 · 36 · 59 · 74 · 114 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11+ -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,49383,-9912834] |
[a1,a2,a3,a4,a6] |
Generators |
[6438:102656:27] |
Generators of the group modulo torsion |
j |
3895843/14641 |
j-invariant |
L |
4.5908396393382 |
L(r)(E,1)/r! |
Ω |
0.18105819421201 |
Real period |
R |
2.112966876712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13475m1 121275ez1 121275fs1 |
Quadratic twists by: -3 5 -7 |