Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51842c |
Isogeny class |
Conductor |
51842 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-1.2640522895249E+19 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 4 -4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-212228,175200444] |
[a1,a2,a3,a4,a6] |
Generators |
[374:-12354:1] |
Generators of the group modulo torsion |
j |
-60698457/725788 |
j-invariant |
L |
2.6709836243396 |
L(r)(E,1)/r! |
Ω |
0.19097790286655 |
Real period |
R |
1.7482281877732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7406b1 2254b1 |
Quadratic twists by: -7 -23 |