Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736by |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
3.6060582573012E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11319832,-11459927312] |
[a1,a2,a3,a4,a6] |
Generators |
[-4907958536104327932:-81997874913741504512:2015033451056443] |
Generators of the group modulo torsion |
j |
22106889268753393/4969545596928 |
j-invariant |
L |
8.4560975537614 |
L(r)(E,1)/r! |
Ω |
0.083631970578337 |
Real period |
R |
25.277706250606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342k1 8976w1 |
Quadratic twists by: -4 -11 |