Atkin-Lehner |
3- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
74175s |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
755712 |
Modular degree for the optimal curve |
Δ |
-29901796875 = -1 · 32 · 57 · 23 · 432 |
Discriminant |
Eigenvalues |
-2 3- 5+ -3 -2 -4 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1035258,405089894] |
[a1,a2,a3,a4,a6] |
Generators |
[588:37:1] |
Generators of the group modulo torsion |
j |
-7853258467812929536/1913715 |
j-invariant |
L |
2.7731518758689 |
L(r)(E,1)/r! |
Ω |
0.69182703781565 |
Real period |
R |
0.50105584990443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14835b1 |
Quadratic twists by: 5 |