Atkin-Lehner |
5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11515i |
Isogeny class |
Conductor |
11515 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4368 |
Modular degree for the optimal curve |
Δ |
-8456328125 = -1 · 57 · 72 · 472 |
Discriminant |
Eigenvalues |
1 -1 5- 7- -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-312,-5039] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1119:1] |
Generators of the group modulo torsion |
j |
-68891327449/172578125 |
j-invariant |
L |
4.4504375459975 |
L(r)(E,1)/r! |
Ω |
0.52877832005212 |
Real period |
R |
0.60117516941948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103635v1 57575l1 11515a1 |
Quadratic twists by: -3 5 -7 |