Atkin-Lehner |
2- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032bw |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5713920 |
Modular degree for the optimal curve |
Δ |
-2669755109056 = -1 · 26 · 77 · 373 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -5 -7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40790507,100260041671] |
[a1,a2,a3,a4,a6] |
Generators |
[-6242:334229:1] [3390:30821:1] |
Generators of the group modulo torsion |
j |
-996856898790659465728/354571 |
j-invariant |
L |
5.2315996446633 |
L(r)(E,1)/r! |
Ω |
0.33821587824943 |
Real period |
R |
1.2890188325187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000012269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032bp1 58016f1 16576k1 |
Quadratic twists by: -4 8 -7 |