Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126616s |
Isogeny class |
Conductor |
126616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11473920 |
Modular degree for the optimal curve |
Δ |
-11597500676400128 = -1 · 210 · 72 · 173 · 196 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 5 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62319691,189359043286] |
[a1,a2,a3,a4,a6] |
Generators |
[984534:6859:216] |
Generators of the group modulo torsion |
j |
-533462074353329800238532/231136413353 |
j-invariant |
L |
3.0191665190226 |
L(r)(E,1)/r! |
Ω |
0.24345078702819 |
Real period |
R |
3.1003868889014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126616l1 |
Quadratic twists by: -7 |