Atkin-Lehner |
2+ 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
24024i |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-10294093345536 = -1 · 28 · 32 · 75 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- 13- -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4817,202581] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:546:1] [49:286:1] |
Generators of the group modulo torsion |
j |
-48295185814528/40211302131 |
j-invariant |
L |
6.0677673319823 |
L(r)(E,1)/r! |
Ω |
0.66248654713267 |
Real period |
R |
0.03816283363441 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48048s1 72072bl1 |
Quadratic twists by: -4 -3 |