Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230cc |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-90244553003797500 = -1 · 22 · 37 · 54 · 7 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -2 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-194409,36068665] |
[a1,a2,a3,a4,a6] |
j |
-472729139/52500 |
j-invariant |
L |
2.6417761498568 |
L(r)(E,1)/r! |
Ω |
0.33022201729181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410bp1 76230ed1 |
Quadratic twists by: -3 -11 |