Atkin-Lehner |
2+ 3+ 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
40290i |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3696000 |
Modular degree for the optimal curve |
Δ |
-3.4335963470029E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -5 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11697022,15648976756] |
[a1,a2,a3,a4,a6] |
Generators |
[1927:15439:1] |
Generators of the group modulo torsion |
j |
-176990391681175016465662441/3433596347002924800000 |
j-invariant |
L |
3.1417844380756 |
L(r)(E,1)/r! |
Ω |
0.14099743718111 |
Real period |
R |
2.2282564143599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120870bb1 |
Quadratic twists by: -3 |