Atkin-Lehner |
2+ 3+ 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950l |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1856000 |
Modular degree for the optimal curve |
Δ |
-1407507213656250000 = -1 · 24 · 32 · 59 · 7 · 595 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -3 -4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1142575,-474012875] |
[a1,a2,a3,a4,a6] |
j |
-84459483043503749/720643693392 |
j-invariant |
L |
0.58380414869964 |
L(r)(E,1)/r! |
Ω |
0.072975518003283 |
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 |
61950cq1 |
Quadratic twists by: 5 |