Atkin-Lehner |
2- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
97328be |
Isogeny class |
Conductor |
97328 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-95579349925756928 = -1 · 220 · 75 · 11 · 793 |
Discriminant |
Eigenvalues |
2- 1 -4 7- 11+ -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-218680,42004564] |
[a1,a2,a3,a4,a6] |
Generators |
[-420:7742:1] [-90:7808:1] |
Generators of the group modulo torsion |
j |
-282353350636276921/23334802227968 |
j-invariant |
L |
10.357806691373 |
L(r)(E,1)/r! |
Ω |
0.33081437183186 |
Real period |
R |
0.52183377213016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12166e1 |
Quadratic twists by: -4 |