Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350dl |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
1302110208000000000 = 222 · 33 · 59 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1098605,-439522603] |
[a1,a2,a3,a4,a6] |
Generators |
[-641:1320:1] |
Generators of the group modulo torsion |
j |
347587592236166043/3086483456000 |
j-invariant |
L |
11.791212997445 |
L(r)(E,1)/r! |
Ω |
0.14754411422168 |
Real period |
R |
0.90814233749662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350s1 18270f1 |
Quadratic twists by: -3 5 |