Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22800p |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
2337356250000 = 24 · 39 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -4 -4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1495708,-703575713] |
[a1,a2,a3,a4,a6] |
Generators |
[-60282195283222551:115619640310877:85410712831319] |
Generators of the group modulo torsion |
j |
59208551269469440/373977 |
j-invariant |
L |
3.274143428213 |
L(r)(E,1)/r! |
Ω |
0.13651734280401 |
Real period |
R |
23.983351572507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11400o1 91200is1 68400cs1 22800be1 |
Quadratic twists by: -4 8 -3 5 |