Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275ex |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2217600 |
Modular degree for the optimal curve |
Δ |
-4388042668053515625 = -1 · 311 · 58 · 78 · 11 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11+ 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1053117,428269666] |
[a1,a2,a3,a4,a6] |
Generators |
[1494:46028:1] |
Generators of the group modulo torsion |
j |
-78683185/2673 |
j-invariant |
L |
7.5636917113382 |
L(r)(E,1)/r! |
Ω |
0.24416957089283 |
Real period |
R |
5.1628680818353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425ba1 121275cm1 121275fq1 |
Quadratic twists by: -3 5 -7 |