Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
109520bb |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
68290560 |
Modular degree for the optimal curve |
Δ |
1.7791762177946E+25 |
Discriminant |
Eigenvalues |
2- -3 5- 3 -5 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300424312,-1993943796116] |
[a1,a2,a3,a4,a6] |
Generators |
[-10582:13690:1] |
Generators of the group modulo torsion |
j |
4565397831743545344/27087483203125 |
j-invariant |
L |
3.4650429828551 |
L(r)(E,1)/r! |
Ω |
0.036276132169432 |
Real period |
R |
2.9849541802372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27380e1 2960h1 |
Quadratic twists by: -4 37 |