Atkin-Lehner |
2+ 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
15504c |
Isogeny class |
Conductor |
15504 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-90468858817824768 = -1 · 211 · 32 · 172 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,67536,-12820320] |
[a1,a2,a3,a4,a6] |
Generators |
[620:16340:1] |
Generators of the group modulo torsion |
j |
16633871175485086/44174247469641 |
j-invariant |
L |
4.0309816290275 |
L(r)(E,1)/r! |
Ω |
0.17466782997161 |
Real period |
R |
2.8847481743509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7752k6 62016cv5 46512e5 |
Quadratic twists by: -4 8 -3 |