Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970cm |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-29058196289062500 = -1 · 22 · 36 · 512 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-116213,17343281] |
[a1,a2,a3,a4,a6] |
j |
-99166425177001/16601562500 |
j-invariant |
L |
4.3103129648764 |
L(r)(E,1)/r! |
Ω |
0.35919274761705 |
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 |
8330i1 74970dn1 |
Quadratic twists by: -3 -7 |