Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
97284d |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-30919465135152 = -1 · 24 · 35 · 116 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7099,133938] |
[a1,a2,a3,a4,a6] |
Generators |
[-123092194440:-1414258659737:8489664000] |
Generators of the group modulo torsion |
j |
1395654656/1090827 |
j-invariant |
L |
7.3558589330716 |
L(r)(E,1)/r! |
Ω |
0.42386410213742 |
Real period |
R |
17.354286191454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
804a1 |
Quadratic twists by: -11 |