Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230dt |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
8211456 |
Modular degree for the optimal curve |
Δ |
-1.7224567629321E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4279747,19673880581] |
[a1,a2,a3,a4,a6] |
Generators |
[-1635:91942:1] |
Generators of the group modulo torsion |
j |
55476504148439/1102248000000 |
j-invariant |
L |
9.6030829880137 |
L(r)(E,1)/r! |
Ω |
0.075954014400662 |
Real period |
R |
1.7560118930465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410bi1 76230p1 |
Quadratic twists by: -3 -11 |