Atkin-Lehner |
2- 3- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
108336v |
Isogeny class |
Conductor |
108336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
87243670683648 = 232 · 32 · 37 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12232,-267148] |
[a1,a2,a3,a4,a6] |
Generators |
[4436255642:-340347617280:753571] |
Generators of the group modulo torsion |
j |
49418741980873/21299724288 |
j-invariant |
L |
11.622751225605 |
L(r)(E,1)/r! |
Ω |
0.47205735145701 |
Real period |
R |
12.310740642765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13542b1 |
Quadratic twists by: -4 |