Atkin-Lehner |
2- 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
122100n |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
1216426742363250000 = 24 · 38 · 56 · 114 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-340433,-54925638] |
[a1,a2,a3,a4,a6] |
Generators |
[922:-20350:1] [-453:2475:1] |
Generators of the group modulo torsion |
j |
17453395699253248/4865706969453 |
j-invariant |
L |
9.4726375638589 |
L(r)(E,1)/r! |
Ω |
0.2018107414586 |
Real period |
R |
1.303839523452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000009404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4884d1 |
Quadratic twists by: 5 |