Atkin-Lehner |
2- 3- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
108336t |
Isogeny class |
Conductor |
108336 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-363716136715419648 = -1 · 227 · 39 · 37 · 612 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 3 -1 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,172472,-8990860] |
[a1,a2,a3,a4,a6] |
Generators |
[356:-9882:1] |
Generators of the group modulo torsion |
j |
138521454997448375/88797884940288 |
j-invariant |
L |
7.9464854688339 |
L(r)(E,1)/r! |
Ω |
0.17307608945485 |
Real period |
R |
1.275368008043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13542a1 |
Quadratic twists by: -4 |