Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230cn |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
-1329056144237745000 = -1 · 23 · 311 · 54 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12952044,-17938217192] |
[a1,a2,a3,a4,a6] |
Generators |
[118187:40552439:1] |
Generators of the group modulo torsion |
j |
-1537693061582689/8505000 |
j-invariant |
L |
5.9157101789761 |
L(r)(E,1)/r! |
Ω |
0.039790998338603 |
Real period |
R |
6.1945649630405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410bv1 76230em1 |
Quadratic twists by: -3 -11 |