Atkin-Lehner |
7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
93499j |
Isogeny class |
Conductor |
93499 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
11975040 |
Modular degree for the optimal curve |
Δ |
-8.9527986867633E+22 |
Discriminant |
Eigenvalues |
1 -2 -3 7- -2 -6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17346780,31312277375] |
[a1,a2,a3,a4,a6] |
Generators |
[-4723:91198:1] [1493:-94246:1] |
Generators of the group modulo torsion |
j |
-12270398920207025473/1902993098750401 |
j-invariant |
L |
6.2719828211931 |
L(r)(E,1)/r! |
Ω |
0.10362968279517 |
Real period |
R |
0.4585078337823 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997299 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4921c1 |
Quadratic twists by: -19 |