Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025cl |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-188435326046101875 = -1 · 37 · 54 · 1310 |
Discriminant |
Eigenvalues |
-1 3- 5- -3 -2 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-133880,-28103578] |
[a1,a2,a3,a4,a6] |
Generators |
[91110:27455146:1] |
Generators of the group modulo torsion |
j |
-4225/3 |
j-invariant |
L |
2.4985158842844 |
L(r)(E,1)/r! |
Ω |
0.1210087445645 |
Real period |
R |
10.323699718053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12675bg1 38025bg1 38025ch1 |
Quadratic twists by: -3 5 13 |