Atkin-Lehner |
5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92575z |
Isogeny class |
Conductor |
92575 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1251936 |
Modular degree for the optimal curve |
Δ |
16787917469614375 = 54 · 73 · 238 |
Discriminant |
Eigenvalues |
-1 3 5- 7+ -4 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-95055,9424672] |
[a1,a2,a3,a4,a6] |
Generators |
[318:77645:27] |
Generators of the group modulo torsion |
j |
1940625/343 |
j-invariant |
L |
7.6550733094907 |
L(r)(E,1)/r! |
Ω |
0.37190606949477 |
Real period |
R |
6.8611171091609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92575v1 92575bc1 |
Quadratic twists by: 5 -23 |