Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520dw |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-1134184495104000 = -1 · 214 · 33 · 53 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62352,-6207904] |
[a1,a2,a3,a4,a6] |
Generators |
[817:22095:1] |
Generators of the group modulo torsion |
j |
-60602588439552/2563893625 |
j-invariant |
L |
4.7439236658099 |
L(r)(E,1)/r! |
Ω |
0.15068948095086 |
Real period |
R |
5.2469086699298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520l1 20880c1 83520dq1 |
Quadratic twists by: -4 8 -3 |