Atkin-Lehner |
2+ 5- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111910h |
Isogeny class |
Conductor |
111910 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
-421192363416800000 = -1 · 28 · 55 · 198 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- -4 -4 3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,185907,-4789944] |
[a1,a2,a3,a4,a6] |
Generators |
[30:887:1] |
Generators of the group modulo torsion |
j |
41839404119/24800000 |
j-invariant |
L |
4.5239885199554 |
L(r)(E,1)/r! |
Ω |
0.17464517463699 |
Real period |
R |
0.86346282197598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000132315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111910o1 |
Quadratic twists by: -19 |