Atkin-Lehner |
2+ 3+ 7- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
35742d |
Isogeny class |
Conductor |
35742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
306041209815043584 = 29 · 318 · 72 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-169011,2537325] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:4395:1] |
Generators of the group modulo torsion |
j |
533915638108832936377/306041209815043584 |
j-invariant |
L |
2.7099049725998 |
L(r)(E,1)/r! |
Ω |
0.2621481059244 |
Real period |
R |
5.1686525886655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107226bc2 |
Quadratic twists by: -3 |