Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070s |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
-1730133460748925000 = -1 · 23 · 36 · 55 · 377 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -5 2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,277194,-29032197] |
[a1,a2,a3,a4,a6] |
j |
918046641959/674325000 |
j-invariant |
L |
3.5710466374004 |
L(r)(E,1)/r! |
Ω |
0.14879360989345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210bo1 1110d1 |
Quadratic twists by: -3 37 |