Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296s |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
8109204416208 = 24 · 34 · 7 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17087,-843042] |
[a1,a2,a3,a4,a6] |
Generators |
[24018074130:909932897224:16581375] |
Generators of the group modulo torsion |
j |
733001728/10773 |
j-invariant |
L |
7.694870471424 |
L(r)(E,1)/r! |
Ω |
0.41794349249234 |
Real period |
R |
18.411269776544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000103701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648bi1 6384k1 |
Quadratic twists by: -4 -19 |