Atkin-Lehner |
2+ 3+ 7+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29526b |
Isogeny class |
Conductor |
29526 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
531283919757115392 = 232 · 33 · 73 · 192 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2598911,1611168069] |
[a1,a2,a3,a4,a6] |
Generators |
[14631:-1766820:1] |
Generators of the group modulo torsion |
j |
1941324766530767773126777/531283919757115392 |
j-invariant |
L |
2.3174211395488 |
L(r)(E,1)/r! |
Ω |
0.28597368136417 |
Real period |
R |
8.1036168380743 |
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 |
88578bf1 |
Quadratic twists by: -3 |