Atkin-Lehner |
2+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
70262c |
Isogeny class |
Conductor |
70262 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-7276979987232161792 = -1 · 215 · 19 · 438 |
Discriminant |
Eigenvalues |
2+ -1 2 1 -2 -3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-303274,-144961708] |
[a1,a2,a3,a4,a6] |
Generators |
[20740376038942:2733043243673895:1184287112] |
Generators of the group modulo torsion |
j |
-488001047617/1151172608 |
j-invariant |
L |
3.7909984689591 |
L(r)(E,1)/r! |
Ω |
0.094969848496489 |
Real period |
R |
19.95895817976 |
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 |
1634d1 |
Quadratic twists by: -43 |