Atkin-Lehner |
2- 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
108360bd |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2007040 |
Modular degree for the optimal curve |
Δ |
-1223850781440 = -1 · 28 · 33 · 5 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16547772,-25909403004] |
[a1,a2,a3,a4,a6] |
Generators |
[76320:21053634:1] |
Generators of the group modulo torsion |
j |
-72500093714251933498368/177061745 |
j-invariant |
L |
7.5983818386771 |
L(r)(E,1)/r! |
Ω |
0.037426970675234 |
Real period |
R |
7.2506744104279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108360h1 |
Quadratic twists by: -3 |