Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230da |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
-1063027959840 = -1 · 25 · 33 · 5 · 75 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2518,-10359] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-309:1] |
Generators of the group modulo torsion |
j |
4468050477/2689120 |
j-invariant |
L |
12.270844371566 |
L(r)(E,1)/r! |
Ω |
0.50841184159822 |
Real period |
R |
0.48271276809472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76230c1 76230j1 |
Quadratic twists by: -3 -11 |