Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300cd |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
1.3373082416925E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33195000,73592412500] |
[a1,a2,a3,a4,a6] |
Generators |
[3181:13671:1] |
Generators of the group modulo torsion |
j |
2219597331865600/733776813 |
j-invariant |
L |
6.6957988343492 |
L(r)(E,1)/r! |
Ω |
0.14937959072297 |
Real period |
R |
3.201718139421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100i1 69300ci1 |
Quadratic twists by: -3 5 |