Atkin-Lehner |
2+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36982c |
Isogeny class |
Conductor |
36982 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
909216 |
Modular degree for the optimal curve |
Δ |
-2720751482869773056 = -1 · 28 · 113 · 418 |
Discriminant |
Eigenvalues |
2+ 1 -3 -4 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,320195,37903000] |
[a1,a2,a3,a4,a6] |
Generators |
[38001:1526618:27] |
Generators of the group modulo torsion |
j |
454672247/340736 |
j-invariant |
L |
2.1815469913305 |
L(r)(E,1)/r! |
Ω |
0.16326264887036 |
Real period |
R |
6.6810964002655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
36982a1 |
Quadratic twists by: 41 |