Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2394a |
Isogeny class |
Conductor |
2394 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
241415748 = 22 · 33 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-687,7065] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:113:1] |
Generators of the group modulo torsion |
j |
1329185824875/8941324 |
j-invariant |
L |
2.454843576762 |
L(r)(E,1)/r! |
Ω |
1.7673933745207 |
Real period |
R |
2.0834441376932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
19152bd1 76608h1 2394g3 59850ds1 |
Quadratic twists by: -4 8 -3 5 |