Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230r |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-33089669434725750 = -1 · 2 · 36 · 53 · 7 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2745,-8751429] |
[a1,a2,a3,a4,a6] |
Generators |
[23387100:272531499:85184] |
Generators of the group modulo torsion |
j |
-121/1750 |
j-invariant |
L |
4.2057777893292 |
L(r)(E,1)/r! |
Ω |
0.16805844978775 |
Real period |
R |
12.512842393337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470bc1 76230dv1 |
Quadratic twists by: -3 -11 |