Atkin-Lehner |
2+ 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7410b |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-26676000 = -1 · 25 · 33 · 53 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -3 13+ 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-98,-492] |
[a1,a2,a3,a4,a6] |
j |
-105756712489/26676000 |
j-invariant |
L |
0.74776850454765 |
L(r)(E,1)/r! |
Ω |
0.74776850454765 |
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 |
59280bp1 22230br1 37050cj1 96330cj1 |
Quadratic twists by: -4 -3 5 13 |