Atkin-Lehner |
2- 3+ 41- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
104304j |
Isogeny class |
Conductor |
104304 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-182204782092258048 = -1 · 28 · 37 · 415 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 3 -4 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-300653,-66592815] |
[a1,a2,a3,a4,a6] |
Generators |
[4264:275971:1] |
Generators of the group modulo torsion |
j |
-11740370877592576000/711737430047883 |
j-invariant |
L |
7.0584004526822 |
L(r)(E,1)/r! |
Ω |
0.10158526146973 |
Real period |
R |
3.474126230542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26076e1 |
Quadratic twists by: -4 |