Atkin-Lehner |
2+ 3- 37+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
35298c |
Isogeny class |
Conductor |
35298 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
969600 |
Modular degree for the optimal curve |
Δ |
-13355504646703776 = -1 · 25 · 36 · 372 · 535 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 5 -2 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1856466,-973147532] |
[a1,a2,a3,a4,a6] |
Generators |
[6137:464630:1] |
Generators of the group modulo torsion |
j |
-970638056074980108577/18320308157344 |
j-invariant |
L |
3.853895165157 |
L(r)(E,1)/r! |
Ω |
0.064669172869522 |
Real period |
R |
2.9797003689325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3922b1 |
Quadratic twists by: -3 |