Atkin-Lehner |
2+ 3+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224c |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
495500544 = 28 · 33 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 11+ 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-217,-539] |
[a1,a2,a3,a4,a6] |
j |
4434684928/1935549 |
j-invariant |
L |
1.294080080809 |
L(r)(E,1)/r! |
Ω |
1.2940800789639 |
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 |
35112z1 |
Quadratic twists by: -4 |