Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400ca |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-4000168800000000 = -1 · 211 · 36 · 58 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 4 -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15075,3125250] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:1900:1] |
Generators of the group modulo torsion |
j |
-16241202/171475 |
j-invariant |
L |
6.2368367708542 |
L(r)(E,1)/r! |
Ω |
0.37478192776684 |
Real period |
R |
0.69338508479611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34200r1 7600g1 13680o1 |
Quadratic twists by: -4 -3 5 |