Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215bz |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92736 |
Modular degree for the optimal curve |
Δ |
-46120159995 = -1 · 3 · 5 · 72 · 137 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -1 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,789,6101] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:1592:27] |
Generators of the group modulo torsion |
j |
229376/195 |
j-invariant |
L |
7.2036009703092 |
L(r)(E,1)/r! |
Ω |
0.73604232356986 |
Real period |
R |
2.4467346245986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124215w1 9555t1 |
Quadratic twists by: -7 13 |