Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230dz |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-800647168374900000 = -1 · 25 · 313 · 55 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11434523,14885396331] |
[a1,a2,a3,a4,a6] |
Generators |
[2423:36210:1] |
Generators of the group modulo torsion |
j |
-15491003951990952121/75014100000 |
j-invariant |
L |
9.8410926696245 |
L(r)(E,1)/r! |
Ω |
0.25017261363495 |
Real period |
R |
0.21854005626481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410u1 76230v1 |
Quadratic twists by: -3 -11 |