Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800cg |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
976896 |
Modular degree for the optimal curve |
Δ |
-68509717405920000 = -1 · 28 · 316 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60367,11244963] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:1890:1] |
Generators of the group modulo torsion |
j |
152053113113600/428185733787 |
j-invariant |
L |
7.670246530948 |
L(r)(E,1)/r! |
Ω |
0.24396761547834 |
Real period |
R |
0.10916531025844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121800g1 |
Quadratic twists by: 5 |