Atkin-Lehner |
3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20181h |
Isogeny class |
Conductor |
20181 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
107880 |
Modular degree for the optimal curve |
Δ |
-17212194026596821 = -1 · 3 · 7 · 3110 |
Discriminant |
Eigenvalues |
-1 3+ 1 7- 3 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19240,-6403186] |
[a1,a2,a3,a4,a6] |
Generators |
[49521612800:454035511403:190109375] |
Generators of the group modulo torsion |
j |
-961/21 |
j-invariant |
L |
3.1452447057894 |
L(r)(E,1)/r! |
Ω |
0.16832045208105 |
Real period |
R |
18.686051914089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60543o1 20181l1 |
Quadratic twists by: -3 -31 |