Atkin-Lehner |
2+ 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950f |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1996800 |
Modular degree for the optimal curve |
Δ |
-1517428080000000000 = -1 · 213 · 38 · 510 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -5 5 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-481575,141427125] |
[a1,a2,a3,a4,a6] |
j |
-1264785499290625/155384635392 |
j-invariant |
L |
1.04153932612 |
L(r)(E,1)/r! |
Ω |
0.26038483223489 |
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 |
61950ck1 |
Quadratic twists by: 5 |