Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
102608r |
Isogeny class |
Conductor |
102608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-6452259481072959488 = -1 · 236 · 116 · 53 |
Discriminant |
Eigenvalues |
2- -1 0 -4 11- -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-547928,-198075920] |
[a1,a2,a3,a4,a6] |
Generators |
[11994:1310914:1] |
Generators of the group modulo torsion |
j |
-2507141976625/889192448 |
j-invariant |
L |
2.1852676325559 |
L(r)(E,1)/r! |
Ω |
0.086202004793462 |
Real period |
R |
6.3376357577011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12826b1 848b1 |
Quadratic twists by: -4 -11 |