Atkin-Lehner |
2- 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504p |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-2159925333590016 = -1 · 222 · 313 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 2 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74040,-8045712] |
[a1,a2,a3,a4,a6] |
j |
-10958947844677561/527325520896 |
j-invariant |
L |
2.5975125522546 |
L(r)(E,1)/r! |
Ω |
0.14430625290303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1938e1 62016cs1 46512w1 |
Quadratic twists by: -4 8 -3 |