Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53064i |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
100268036352 = 28 · 312 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1611831,-787639286] |
[a1,a2,a3,a4,a6] |
Generators |
[176714039673730193288:-12877605011058517164861:31432429995954688] |
Generators of the group modulo torsion |
j |
2481502580330766928/537273 |
j-invariant |
L |
4.4193377090073 |
L(r)(E,1)/r! |
Ω |
0.13398916437078 |
Real period |
R |
32.982799241929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128k1 17688j1 |
Quadratic twists by: -4 -3 |