Atkin-Lehner |
2- 3- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
108336x |
Isogeny class |
Conductor |
108336 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
-1021364379058176 = -1 · 224 · 36 · 372 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 3 3 -1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23408,-673516] |
[a1,a2,a3,a4,a6] |
Generators |
[44:666:1] |
Generators of the group modulo torsion |
j |
346288554179567/249356537856 |
j-invariant |
L |
7.8323381759127 |
L(r)(E,1)/r! |
Ω |
0.27719281461119 |
Real period |
R |
1.1773300228024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13542g1 |
Quadratic twists by: -4 |