Atkin-Lehner |
3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
2451f |
Isogeny class |
Conductor |
2451 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
56280 |
Modular degree for the optimal curve |
Δ |
-394220077776277131 = -1 · 3 · 197 · 435 |
Discriminant |
Eigenvalues |
-2 3+ -3 0 6 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-80732,-31445308] |
[a1,a2,a3,a4,a6] |
j |
-58192394268587511808/394220077776277131 |
j-invariant |
L |
0.62942265418314 |
L(r)(E,1)/r! |
Ω |
0.12588453083663 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39216bh1 7353m1 61275j1 120099x1 |
Quadratic twists by: -4 -3 5 -7 |