Atkin-Lehner |
3+ 5+ 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
118275b |
Isogeny class |
Conductor |
118275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-149691796875 = -1 · 35 · 58 · 19 · 83 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2383,49293] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-63:1] [-3:237:1] |
Generators of the group modulo torsion |
j |
-95820414976/9580275 |
j-invariant |
L |
8.221267395357 |
L(r)(E,1)/r! |
Ω |
1.0035619910682 |
Real period |
R |
2.0480218135271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23655d1 |
Quadratic twists by: 5 |