Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518ba |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
19822860671234148 = 22 · 37 · 119 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 11- -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68085,950593] |
[a1,a2,a3,a4,a6] |
j |
27027009001/15349092 |
j-invariant |
L |
2.6476435962505 |
L(r)(E,1)/r! |
Ω |
0.33095545091609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22506be1 6138n1 |
Quadratic twists by: -3 -11 |