Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230v |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39916800 |
Modular degree for the optimal curve |
Δ |
-1.4183952982534E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1383577245,-19808311785179] |
[a1,a2,a3,a4,a6] |
Generators |
[12807960355323578886846025894064860627870165:6917194220271173736824797821290617878934726123:43110223274138342864144641281282332987] |
Generators of the group modulo torsion |
j |
-15491003951990952121/75014100000 |
j-invariant |
L |
3.3379350261769 |
L(r)(E,1)/r! |
Ω |
0.012377090889121 |
Real period |
R |
67.421639222001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410cb1 76230dz1 |
Quadratic twists by: -3 -11 |