Atkin-Lehner |
2+ 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7104a |
Isogeny class |
Conductor |
7104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2095054848 = -1 · 221 · 33 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -1 -3 1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,127,-2175] |
[a1,a2,a3,a4,a6] |
Generators |
[33:192:1] |
Generators of the group modulo torsion |
j |
857375/7992 |
j-invariant |
L |
3.2761289062304 |
L(r)(E,1)/r! |
Ω |
0.72584358153299 |
Real period |
R |
1.1283866764073 |
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 |
7104u1 222a1 21312j1 |
Quadratic twists by: -4 8 -3 |