Atkin-Lehner |
2+ 3- 5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950t |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-69585750000 = -1 · 24 · 33 · 56 · 132 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,424,-12202] |
[a1,a2,a3,a4,a6] |
Generators |
[21:67:1] |
Generators of the group modulo torsion |
j |
541343375/4453488 |
j-invariant |
L |
7.3455558460264 |
L(r)(E,1)/r! |
Ω |
0.54382834319668 |
Real period |
R |
2.251187023356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758d1 |
Quadratic twists by: 5 |