Atkin-Lehner |
2+ 3- 37- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35298f |
Isogeny class |
Conductor |
35298 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
269824 |
Modular degree for the optimal curve |
Δ |
-62396363833344 = -1 · 217 · 38 · 372 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 3 0 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-152163,-22811243] |
[a1,a2,a3,a4,a6] |
Generators |
[6021699:55245410:12167] |
Generators of the group modulo torsion |
j |
-534472021287631153/85591719936 |
j-invariant |
L |
5.3394818009686 |
L(r)(E,1)/r! |
Ω |
0.12086150201816 |
Real period |
R |
11.044629000569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11766d1 |
Quadratic twists by: -3 |