Atkin-Lehner |
2- 7+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
95312k |
Isogeny class |
Conductor |
95312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4447872 |
Modular degree for the optimal curve |
Δ |
-7.4902498268371E+20 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 6 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1322216,1179135216] |
[a1,a2,a3,a4,a6] |
Generators |
[179744454883298340:11619019637021375216:48034036951551] |
Generators of the group modulo torsion |
j |
62412367968676722023/182867427413015464 |
j-invariant |
L |
12.399684107312 |
L(r)(E,1)/r! |
Ω |
0.11260311252183 |
Real period |
R |
27.529621139263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11914e1 |
Quadratic twists by: -4 |