Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306n |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-570230378496 = -1 · 212 · 36 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 4 3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-616710,186153219] |
[a1,a2,a3,a4,a6] |
Generators |
[439:-733:1] |
Generators of the group modulo torsion |
j |
-49035550569835214929/1077940224 |
j-invariant |
L |
10.510681558794 |
L(r)(E,1)/r! |
Ω |
0.66540710199447 |
Real period |
R |
0.32908054606502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60306q1 |
Quadratic twists by: -23 |