Atkin-Lehner |
2+ 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60306h |
Isogeny class |
Conductor |
60306 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1192320 |
Modular degree for the optimal curve |
Δ |
-807568409598873606 = -1 · 2 · 33 · 192 · 2310 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 -3 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-425591,115103235] |
[a1,a2,a3,a4,a6] |
Generators |
[187:6395:1] |
Generators of the group modulo torsion |
j |
-205789993/19494 |
j-invariant |
L |
2.6619376280757 |
L(r)(E,1)/r! |
Ω |
0.27610284322253 |
Real period |
R |
4.8205545394404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60306c1 |
Quadratic twists by: -23 |