Atkin-Lehner |
2- 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108240ch |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-149630976000 = -1 · 215 · 34 · 53 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 3 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2320,46100] |
[a1,a2,a3,a4,a6] |
Generators |
[50:240:1] |
Generators of the group modulo torsion |
j |
-337298881681/36531000 |
j-invariant |
L |
8.7266000537066 |
L(r)(E,1)/r! |
Ω |
1.0017543023129 |
Real period |
R |
0.18148578655909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530q1 |
Quadratic twists by: -4 |