Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230c |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-774947382723360 = -1 · 25 · 39 · 5 · 75 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,22665,257021] |
[a1,a2,a3,a4,a6] |
Generators |
[355:7099:1] |
Generators of the group modulo torsion |
j |
4468050477/2689120 |
j-invariant |
L |
4.7328207917835 |
L(r)(E,1)/r! |
Ω |
0.30925693174695 |
Real period |
R |
0.51012823598286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76230da1 76230cu1 |
Quadratic twists by: -3 -11 |