Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60450bt |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-3966124500000 = -1 · 25 · 39 · 56 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-153513,23087031] |
[a1,a2,a3,a4,a6] |
Generators |
[225:-138:1] |
Generators of the group modulo torsion |
j |
-25605858405543625/253831968 |
j-invariant |
L |
8.558275875237 |
L(r)(E,1)/r! |
Ω |
0.70744850856322 |
Real period |
R |
1.2097383443806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2418b1 |
Quadratic twists by: 5 |