Atkin-Lehner |
5+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
39425c |
Isogeny class |
Conductor |
39425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-738307046875 = -1 · 56 · 193 · 832 |
Discriminant |
Eigenvalues |
-2 -2 5+ -3 3 6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,742,-40356] |
[a1,a2,a3,a4,a6] |
Generators |
[84:788:1] |
Generators of the group modulo torsion |
j |
2887553024/47251651 |
j-invariant |
L |
1.3430895885094 |
L(r)(E,1)/r! |
Ω |
0.43955705840573 |
Real period |
R |
0.50925871959241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1577a1 |
Quadratic twists by: 5 |