Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9702m |
Isogeny class |
Conductor |
9702 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
178994580655968 = 25 · 36 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 5 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2504007,1525736925] |
[a1,a2,a3,a4,a6] |
Generators |
[313075:-137250:343] |
Generators of the group modulo torsion |
j |
413160293352625/42592 |
j-invariant |
L |
3.3692828111417 |
L(r)(E,1)/r! |
Ω |
0.43924054812356 |
Real period |
R |
7.6707007709906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
77616ei2 1078g2 9702v2 106722fo2 |
Quadratic twists by: -4 -3 -7 -11 |